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Finding the Fourth Proportional to 6,332.52, 9,500.94 and 3,411.12

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Solution

The fourth proportional to 6,332.52, 9,500.94 and 3,411.12 is: 5,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.52 : 9,500.94 = 3,411.12 : x
  2. Step 2: Convert to fraction form
    6,332.52/9,500.94 = 3,411.12/x
  3. Step 3: Cross multiply
    6,332.52x = 9,500.94 × 3,411.12
  4. Step 4: Simplify right side
    6,332.52x = 32,408,846.45
  5. Step 5: Solve for x
    x = 32,408,846.45/6,332.52
  6. Step 6: Final answer
    x = 5,117.84

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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.