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Finding the Fourth Proportional to 10,463.52, 14,396.31 and 9,140.40

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Solution

The fourth proportional to 10,463.52, 14,396.31 and 9,140.40 is: 12,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.52 : 14,396.31 = 9,140.40 : x
  2. Step 2: Convert to fraction form
    10,463.52/14,396.31 = 9,140.40/x
  3. Step 3: Cross multiply
    10,463.52x = 14,396.31 × 9,140.40
  4. Step 4: Simplify right side
    10,463.52x = 131,588,031.92
  5. Step 5: Solve for x
    x = 131,588,031.92/10,463.52
  6. Step 6: Final answer
    x = 12,575.89

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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.