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Finding the Fourth Proportional to 10,432.90, 14,389.02 and 9,171.28

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Solution

The fourth proportional to 10,432.90, 14,389.02 and 9,171.28 is: 12,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.90 : 14,389.02 = 9,171.28 : x
  2. Step 2: Convert to fraction form
    10,432.90/14,389.02 = 9,171.28/x
  3. Step 3: Cross multiply
    10,432.90x = 14,389.02 × 9,171.28
  4. Step 4: Simplify right side
    10,432.90x = 131,965,731.35
  5. Step 5: Solve for x
    x = 131,965,731.35/10,432.90
  6. Step 6: Final answer
    x = 12,649.00

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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.