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Finding the Fourth Proportional to 9,488.43, 14,232.96 and 3,564.72

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Solution

The fourth proportional to 9,488.43, 14,232.96 and 3,564.72 is: 5,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.43 : 14,232.96 = 3,564.72 : x
  2. Step 2: Convert to fraction form
    9,488.43/14,232.96 = 3,564.72/x
  3. Step 3: Cross multiply
    9,488.43x = 14,232.96 × 3,564.72
  4. Step 4: Simplify right side
    9,488.43x = 50,736,517.17
  5. Step 5: Solve for x
    x = 50,736,517.17/9,488.43
  6. Step 6: Final answer
    x = 5,347.20

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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.