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Finding the Fourth Proportional to 7,026.12, 9,695.88 and 3,882.24

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Solution

The fourth proportional to 7,026.12, 9,695.88 and 3,882.24 is: 5,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.12 : 9,695.88 = 3,882.24 : x
  2. Step 2: Convert to fraction form
    7,026.12/9,695.88 = 3,882.24/x
  3. Step 3: Cross multiply
    7,026.12x = 9,695.88 × 3,882.24
  4. Step 4: Simplify right side
    7,026.12x = 37,641,733.17
  5. Step 5: Solve for x
    x = 37,641,733.17/7,026.12
  6. Step 6: Final answer
    x = 5,357.40

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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.