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Finding the Fourth Proportional to 6,539.72, 9,026.24 and 4,301.80

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Solution

The fourth proportional to 6,539.72, 9,026.24 and 4,301.80 is: 5,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.72 : 9,026.24 = 4,301.80 : x
  2. Step 2: Convert to fraction form
    6,539.72/9,026.24 = 4,301.80/x
  3. Step 3: Cross multiply
    6,539.72x = 9,026.24 × 4,301.80
  4. Step 4: Simplify right side
    6,539.72x = 38,829,079.23
  5. Step 5: Solve for x
    x = 38,829,079.23/6,539.72
  6. Step 6: Final answer
    x = 5,937.42

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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.