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Finding the Fourth Proportional to 6,423.48, 9,657.18 and 5,942.52

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Solution

The fourth proportional to 6,423.48, 9,657.18 and 5,942.52 is: 8,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.48 : 9,657.18 = 5,942.52 : x
  2. Step 2: Convert to fraction form
    6,423.48/9,657.18 = 5,942.52/x
  3. Step 3: Cross multiply
    6,423.48x = 9,657.18 × 5,942.52
  4. Step 4: Simplify right side
    6,423.48x = 57,387,985.29
  5. Step 5: Solve for x
    x = 57,387,985.29/6,423.48
  6. Step 6: Final answer
    x = 8,934.10

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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.