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Finding the Fourth Proportional to 7,070.72, 9,757.68 and 3,927.20

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Solution

The fourth proportional to 7,070.72, 9,757.68 and 3,927.20 is: 5,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.72 : 9,757.68 = 3,927.20 : x
  2. Step 2: Convert to fraction form
    7,070.72/9,757.68 = 3,927.20/x
  3. Step 3: Cross multiply
    7,070.72x = 9,757.68 × 3,927.20
  4. Step 4: Simplify right side
    7,070.72x = 38,320,360.90
  5. Step 5: Solve for x
    x = 38,320,360.90/7,070.72
  6. Step 6: Final answer
    x = 5,419.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.