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Finding the Fourth Proportional to 9,859.04, 14,782.80 and 5,961.12

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Solution

The fourth proportional to 9,859.04, 14,782.80 and 5,961.12 is: 8,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.04 : 14,782.80 = 5,961.12 : x
  2. Step 2: Convert to fraction form
    9,859.04/14,782.80 = 5,961.12/x
  3. Step 3: Cross multiply
    9,859.04x = 14,782.80 × 5,961.12
  4. Step 4: Simplify right side
    9,859.04x = 88,122,044.74
  5. Step 5: Solve for x
    x = 88,122,044.74/9,859.04
  6. Step 6: Final answer
    x = 8,938.20

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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.