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Finding the Fourth Proportional to 6,507.20, 9,721.25 and 4,148.42

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Solution

The fourth proportional to 6,507.20, 9,721.25 and 4,148.42 is: 6,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.20 : 9,721.25 = 4,148.42 : x
  2. Step 2: Convert to fraction form
    6,507.20/9,721.25 = 4,148.42/x
  3. Step 3: Cross multiply
    6,507.20x = 9,721.25 × 4,148.42
  4. Step 4: Simplify right side
    6,507.20x = 40,327,774.13
  5. Step 5: Solve for x
    x = 40,327,774.13/6,507.20
  6. Step 6: Final answer
    x = 6,197.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.