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Finding the Fourth Proportional to 6,189.92, 9,304.96 and 4,970.68

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Solution

The fourth proportional to 6,189.92, 9,304.96 and 4,970.68 is: 7,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.92 : 9,304.96 = 4,970.68 : x
  2. Step 2: Convert to fraction form
    6,189.92/9,304.96 = 4,970.68/x
  3. Step 3: Cross multiply
    6,189.92x = 9,304.96 × 4,970.68
  4. Step 4: Simplify right side
    6,189.92x = 46,251,978.57
  5. Step 5: Solve for x
    x = 46,251,978.57/6,189.92
  6. Step 6: Final answer
    x = 7,472.14

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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.