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Finding the Fourth Proportional to 6,478.14, 9,722.25 and 5,187.90

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Solution

The fourth proportional to 6,478.14, 9,722.25 and 5,187.90 is: 7,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.14 : 9,722.25 = 5,187.90 : x
  2. Step 2: Convert to fraction form
    6,478.14/9,722.25 = 5,187.90/x
  3. Step 3: Cross multiply
    6,478.14x = 9,722.25 × 5,187.90
  4. Step 4: Simplify right side
    6,478.14x = 50,438,060.78
  5. Step 5: Solve for x
    x = 50,438,060.78/6,478.14
  6. Step 6: Final answer
    x = 7,785.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.