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Finding the Fourth Proportional to 38,595.25, 57,892.88 and 9,411.25

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Solution

The fourth proportional to 38,595.25, 57,892.88 and 9,411.25 is: 14,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,595.25 : 57,892.88 = 9,411.25 : x
  2. Step 2: Convert to fraction form
    38,595.25/57,892.88 = 9,411.25/x
  3. Step 3: Cross multiply
    38,595.25x = 57,892.88 × 9,411.25
  4. Step 4: Simplify right side
    38,595.25x = 544,844,366.90
  5. Step 5: Solve for x
    x = 544,844,366.90/38,595.25
  6. Step 6: Final answer
    x = 14,116.88

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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.