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Finding the Fourth Proportional to 11,385.74, 15,720.41 and 9,502.19

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Solution

The fourth proportional to 11,385.74, 15,720.41 and 9,502.19 is: 13,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.74 : 15,720.41 = 9,502.19 : x
  2. Step 2: Convert to fraction form
    11,385.74/15,720.41 = 9,502.19/x
  3. Step 3: Cross multiply
    11,385.74x = 15,720.41 × 9,502.19
  4. Step 4: Simplify right side
    11,385.74x = 149,378,322.70
  5. Step 5: Solve for x
    x = 149,378,322.70/11,385.74
  6. Step 6: Final answer
    x = 13,119.77

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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.