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Finding the Fourth Proportional to 9,731.52, 14,599.17 and 3,155.94

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Solution

The fourth proportional to 9,731.52, 14,599.17 and 3,155.94 is: 4,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.52 : 14,599.17 = 3,155.94 : x
  2. Step 2: Convert to fraction form
    9,731.52/14,599.17 = 3,155.94/x
  3. Step 3: Cross multiply
    9,731.52x = 14,599.17 × 3,155.94
  4. Step 4: Simplify right side
    9,731.52x = 46,074,104.57
  5. Step 5: Solve for x
    x = 46,074,104.57/9,731.52
  6. Step 6: Final answer
    x = 4,734.52

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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.