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Finding the Fourth Proportional to 10,397.97, 14,345.98 and 6,149.52

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Solution

The fourth proportional to 10,397.97, 14,345.98 and 6,149.52 is: 8,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.97 : 14,345.98 = 6,149.52 : x
  2. Step 2: Convert to fraction form
    10,397.97/14,345.98 = 6,149.52/x
  3. Step 3: Cross multiply
    10,397.97x = 14,345.98 × 6,149.52
  4. Step 4: Simplify right side
    10,397.97x = 88,220,875.56
  5. Step 5: Solve for x
    x = 88,220,875.56/10,397.97
  6. Step 6: Final answer
    x = 8,484.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.