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Finding the Fourth Proportional to 6,390.48, 9,561.64 and 5,743

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Solution

The fourth proportional to 6,390.48, 9,561.64 and 5,743 is: 8,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.48 : 9,561.64 = 5,743 : x
  2. Step 2: Convert to fraction form
    6,390.48/9,561.64 = 5,743/x
  3. Step 3: Cross multiply
    6,390.48x = 9,561.64 × 5,743
  4. Step 4: Simplify right side
    6,390.48x = 54,912,498.52
  5. Step 5: Solve for x
    x = 54,912,498.52/6,390.48
  6. Step 6: Final answer
    x = 8,592.86

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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.