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Finding the Fourth Proportional to 7,006.14, 9,656.30 and 5,114.61

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Solution

The fourth proportional to 7,006.14, 9,656.30 and 5,114.61 is: 7,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.14 : 9,656.30 = 5,114.61 : x
  2. Step 2: Convert to fraction form
    7,006.14/9,656.30 = 5,114.61/x
  3. Step 3: Cross multiply
    7,006.14x = 9,656.30 × 5,114.61
  4. Step 4: Simplify right side
    7,006.14x = 49,388,182.97
  5. Step 5: Solve for x
    x = 49,388,182.97/7,006.14
  6. Step 6: Final answer
    x = 7,049.27

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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.