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Finding the Fourth Proportional to 9,781.57, 14,672.20 and 3,938.04

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Solution

The fourth proportional to 9,781.57, 14,672.20 and 3,938.04 is: 5,907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.57 : 14,672.20 = 3,938.04 : x
  2. Step 2: Convert to fraction form
    9,781.57/14,672.20 = 3,938.04/x
  3. Step 3: Cross multiply
    9,781.57x = 14,672.20 × 3,938.04
  4. Step 4: Simplify right side
    9,781.57x = 57,779,710.49
  5. Step 5: Solve for x
    x = 57,779,710.49/9,781.57
  6. Step 6: Final answer
    x = 5,907.00

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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.