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Finding the Fourth Proportional to 9,335.50, 14,003.24 and 6,404.92

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Solution

The fourth proportional to 9,335.50, 14,003.24 and 6,404.92 is: 9,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.50 : 14,003.24 = 6,404.92 : x
  2. Step 2: Convert to fraction form
    9,335.50/14,003.24 = 6,404.92/x
  3. Step 3: Cross multiply
    9,335.50x = 14,003.24 × 6,404.92
  4. Step 4: Simplify right side
    9,335.50x = 89,689,631.94
  5. Step 5: Solve for x
    x = 89,689,631.94/9,335.50
  6. Step 6: Final answer
    x = 9,607.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.