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Finding the Fourth Proportional to 9,706,929.90, 14,565,643.65 and 4,027,728.30

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Solution

The fourth proportional to 9,706,929.90, 14,565,643.65 and 4,027,728.30 is: 6,043,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706,929.90 : 14,565,643.65 = 4,027,728.30 : x
  2. Step 2: Convert to fraction form
    9,706,929.90/14,565,643.65 = 4,027,728.30/x
  3. Step 3: Cross multiply
    9,706,929.90x = 14,565,643.65 × 4,027,728.30
  4. Step 4: Simplify right side
    9,706,929.90x = 58,666,455,136,820.30
  5. Step 5: Solve for x
    x = 58,666,455,136,820.30/9,706,929.90
  6. Step 6: Final answer
    x = 6,043,770.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.