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Finding the Fourth Proportional to 9,635.47, 14,454.17 and 2,615.60

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Solution

The fourth proportional to 9,635.47, 14,454.17 and 2,615.60 is: 3,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.47 : 14,454.17 = 2,615.60 : x
  2. Step 2: Convert to fraction form
    9,635.47/14,454.17 = 2,615.60/x
  3. Step 3: Cross multiply
    9,635.47x = 14,454.17 × 2,615.60
  4. Step 4: Simplify right side
    9,635.47x = 37,806,327.05
  5. Step 5: Solve for x
    x = 37,806,327.05/9,635.47
  6. Step 6: Final answer
    x = 3,923.66

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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.