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Finding the Fourth Proportional to 9,257.67, 13,886.46 and 2,332.17

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Solution

The fourth proportional to 9,257.67, 13,886.46 and 2,332.17 is: 3,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.67 : 13,886.46 = 2,332.17 : x
  2. Step 2: Convert to fraction form
    9,257.67/13,886.46 = 2,332.17/x
  3. Step 3: Cross multiply
    9,257.67x = 13,886.46 × 2,332.17
  4. Step 4: Simplify right side
    9,257.67x = 32,385,585.42
  5. Step 5: Solve for x
    x = 32,385,585.42/9,257.67
  6. Step 6: Final answer
    x = 3,498.24

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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.