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Finding the Fourth Proportional to 7,122.60, 9,808.20 and 4,882.14

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Solution

The fourth proportional to 7,122.60, 9,808.20 and 4,882.14 is: 6,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.60 : 9,808.20 = 4,882.14 : x
  2. Step 2: Convert to fraction form
    7,122.60/9,808.20 = 4,882.14/x
  3. Step 3: Cross multiply
    7,122.60x = 9,808.20 × 4,882.14
  4. Step 4: Simplify right side
    7,122.60x = 47,885,005.55
  5. Step 5: Solve for x
    x = 47,885,005.55/7,122.60
  6. Step 6: Final answer
    x = 6,722.97

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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.