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Finding the Fourth Proportional to 10,414.56, 14,363.28 and 9,377.76

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Solution

The fourth proportional to 10,414.56, 14,363.28 and 9,377.76 is: 12,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.56 : 14,363.28 = 9,377.76 : x
  2. Step 2: Convert to fraction form
    10,414.56/14,363.28 = 9,377.76/x
  3. Step 3: Cross multiply
    10,414.56x = 14,363.28 × 9,377.76
  4. Step 4: Simplify right side
    10,414.56x = 134,695,392.65
  5. Step 5: Solve for x
    x = 134,695,392.65/10,414.56
  6. Step 6: Final answer
    x = 12,933.37

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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.