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Finding the Fourth Proportional to 9,663,829.80, 14,497,494.30 and 4,859,428.20

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Solution

The fourth proportional to 9,663,829.80, 14,497,494.30 and 4,859,428.20 is: 7,290,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663,829.80 : 14,497,494.30 = 4,859,428.20 : x
  2. Step 2: Convert to fraction form
    9,663,829.80/14,497,494.30 = 4,859,428.20/x
  3. Step 3: Cross multiply
    9,663,829.80x = 14,497,494.30 × 4,859,428.20
  4. Step 4: Simplify right side
    9,663,829.80x = 70,449,532,630,759.27
  5. Step 5: Solve for x
    x = 70,449,532,630,759.27/9,663,829.80
  6. Step 6: Final answer
    x = 7,290,022.08

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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.