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Finding the Fourth Proportional to 9,272.64, 13,909.02 and 2,347.14

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Solution

The fourth proportional to 9,272.64, 13,909.02 and 2,347.14 is: 3,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.64 : 13,909.02 = 2,347.14 : x
  2. Step 2: Convert to fraction form
    9,272.64/13,909.02 = 2,347.14/x
  3. Step 3: Cross multiply
    9,272.64x = 13,909.02 × 2,347.14
  4. Step 4: Simplify right side
    9,272.64x = 32,646,417.20
  5. Step 5: Solve for x
    x = 32,646,417.20/9,272.64
  6. Step 6: Final answer
    x = 3,520.73

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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.