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Finding the Fourth Proportional to 9,913.32, 14,869.80 and 8,363.25

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Solution

The fourth proportional to 9,913.32, 14,869.80 and 8,363.25 is: 12,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.32 : 14,869.80 = 8,363.25 : x
  2. Step 2: Convert to fraction form
    9,913.32/14,869.80 = 8,363.25/x
  3. Step 3: Cross multiply
    9,913.32x = 14,869.80 × 8,363.25
  4. Step 4: Simplify right side
    9,913.32x = 124,359,854.85
  5. Step 5: Solve for x
    x = 124,359,854.85/9,913.32
  6. Step 6: Final answer
    x = 12,544.72

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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.