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Finding the Fourth Proportional to 7,115.61, 9,820.53 and 3,972

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Solution

The fourth proportional to 7,115.61, 9,820.53 and 3,972 is: 5,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.61 : 9,820.53 = 3,972 : x
  2. Step 2: Convert to fraction form
    7,115.61/9,820.53 = 3,972/x
  3. Step 3: Cross multiply
    7,115.61x = 9,820.53 × 3,972
  4. Step 4: Simplify right side
    7,115.61x = 39,007,145.16
  5. Step 5: Solve for x
    x = 39,007,145.16/7,115.61
  6. Step 6: Final answer
    x = 5,481.91

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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.