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Finding the Fourth Proportional to 9,505.31, 14,248.06 and 3,578.13

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Solution

The fourth proportional to 9,505.31, 14,248.06 and 3,578.13 is: 5,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.31 : 14,248.06 = 3,578.13 : x
  2. Step 2: Convert to fraction form
    9,505.31/14,248.06 = 3,578.13/x
  3. Step 3: Cross multiply
    9,505.31x = 14,248.06 × 3,578.13
  4. Step 4: Simplify right side
    9,505.31x = 50,981,415.40
  5. Step 5: Solve for x
    x = 50,981,415.40/9,505.31
  6. Step 6: Final answer
    x = 5,363.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.