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Finding the Fourth Proportional to 9,207.14, 13,819.28 and 6,577.20

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Solution

The fourth proportional to 9,207.14, 13,819.28 and 6,577.20 is: 9,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.14 : 13,819.28 = 6,577.20 : x
  2. Step 2: Convert to fraction form
    9,207.14/13,819.28 = 6,577.20/x
  3. Step 3: Cross multiply
    9,207.14x = 13,819.28 × 6,577.20
  4. Step 4: Simplify right side
    9,207.14x = 90,892,135.53
  5. Step 5: Solve for x
    x = 90,892,135.53/9,207.14
  6. Step 6: Final answer
    x = 9,871.92

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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.