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Finding the Fourth Proportional to 6,657.48, 9,193.24 and 4,143.90

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Solution

The fourth proportional to 6,657.48, 9,193.24 and 4,143.90 is: 5,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.48 : 9,193.24 = 4,143.90 : x
  2. Step 2: Convert to fraction form
    6,657.48/9,193.24 = 4,143.90/x
  3. Step 3: Cross multiply
    6,657.48x = 9,193.24 × 4,143.90
  4. Step 4: Simplify right side
    6,657.48x = 38,095,867.24
  5. Step 5: Solve for x
    x = 38,095,867.24/6,657.48
  6. Step 6: Final answer
    x = 5,722.27

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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.