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Finding the Fourth Proportional to 6,390.90, 9,540.72 and 5,406.48

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Solution

The fourth proportional to 6,390.90, 9,540.72 and 5,406.48 is: 8,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.90 : 9,540.72 = 5,406.48 : x
  2. Step 2: Convert to fraction form
    6,390.90/9,540.72 = 5,406.48/x
  3. Step 3: Cross multiply
    6,390.90x = 9,540.72 × 5,406.48
  4. Step 4: Simplify right side
    6,390.90x = 51,581,711.87
  5. Step 5: Solve for x
    x = 51,581,711.87/6,390.90
  6. Step 6: Final answer
    x = 8,071.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.