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Finding the Fourth Proportional to 9,252.56, 13,884.98 and 8,637.46

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Solution

The fourth proportional to 9,252.56, 13,884.98 and 8,637.46 is: 12,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.56 : 13,884.98 = 8,637.46 : x
  2. Step 2: Convert to fraction form
    9,252.56/13,884.98 = 8,637.46/x
  3. Step 3: Cross multiply
    9,252.56x = 13,884.98 × 8,637.46
  4. Step 4: Simplify right side
    9,252.56x = 119,930,959.35
  5. Step 5: Solve for x
    x = 119,930,959.35/9,252.56
  6. Step 6: Final answer
    x = 12,961.92

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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.