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Finding the Fourth Proportional to 6,577.32, 9,868.14 and 3,114.12

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Solution

The fourth proportional to 6,577.32, 9,868.14 and 3,114.12 is: 4,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.32 : 9,868.14 = 3,114.12 : x
  2. Step 2: Convert to fraction form
    6,577.32/9,868.14 = 3,114.12/x
  3. Step 3: Cross multiply
    6,577.32x = 9,868.14 × 3,114.12
  4. Step 4: Simplify right side
    6,577.32x = 30,730,572.14
  5. Step 5: Solve for x
    x = 30,730,572.14/6,577.32
  6. Step 6: Final answer
    x = 4,672.20

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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.