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Finding the Fourth Proportional to 9,125.41, 12,581.65 and 7,615.14

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Solution

The fourth proportional to 9,125.41, 12,581.65 and 7,615.14 is: 10,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.41 : 12,581.65 = 7,615.14 : x
  2. Step 2: Convert to fraction form
    9,125.41/12,581.65 = 7,615.14/x
  3. Step 3: Cross multiply
    9,125.41x = 12,581.65 × 7,615.14
  4. Step 4: Simplify right side
    9,125.41x = 95,810,982.31
  5. Step 5: Solve for x
    x = 95,810,982.31/9,125.41
  6. Step 6: Final answer
    x = 10,499.36

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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.