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Finding the Fourth Proportional to 39,294.89, 58,942.38 and 9,712.25

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Solution

The fourth proportional to 39,294.89, 58,942.38 and 9,712.25 is: 14,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294.89 : 58,942.38 = 9,712.25 : x
  2. Step 2: Convert to fraction form
    39,294.89/58,942.38 = 9,712.25/x
  3. Step 3: Cross multiply
    39,294.89x = 58,942.38 × 9,712.25
  4. Step 4: Simplify right side
    39,294.89x = 572,463,130.16
  5. Step 5: Solve for x
    x = 572,463,130.16/39,294.89
  6. Step 6: Final answer
    x = 14,568.39

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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.