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Finding the Fourth Proportional to 10,497.92, 15,664.64 and 9,394.70

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Solution

The fourth proportional to 10,497.92, 15,664.64 and 9,394.70 is: 14,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.92 : 15,664.64 = 9,394.70 : x
  2. Step 2: Convert to fraction form
    10,497.92/15,664.64 = 9,394.70/x
  3. Step 3: Cross multiply
    10,497.92x = 15,664.64 × 9,394.70
  4. Step 4: Simplify right side
    10,497.92x = 147,164,593.41
  5. Step 5: Solve for x
    x = 147,164,593.41/10,497.92
  6. Step 6: Final answer
    x = 14,018.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.