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Finding the Fourth Proportional to 6,596.43, 9,894.65 and 3,132.87

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Solution

The fourth proportional to 6,596.43, 9,894.65 and 3,132.87 is: 4,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.43 : 9,894.65 = 3,132.87 : x
  2. Step 2: Convert to fraction form
    6,596.43/9,894.65 = 3,132.87/x
  3. Step 3: Cross multiply
    6,596.43x = 9,894.65 × 3,132.87
  4. Step 4: Simplify right side
    6,596.43x = 30,998,636.48
  5. Step 5: Solve for x
    x = 30,998,636.48/6,596.43
  6. Step 6: Final answer
    x = 4,699.31

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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.