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Finding the Fourth Proportional to 9,909.53, 13,675.57 and 5,929.87

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Solution

The fourth proportional to 9,909.53, 13,675.57 and 5,929.87 is: 8,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.53 : 13,675.57 = 5,929.87 : x
  2. Step 2: Convert to fraction form
    9,909.53/13,675.57 = 5,929.87/x
  3. Step 3: Cross multiply
    9,909.53x = 13,675.57 × 5,929.87
  4. Step 4: Simplify right side
    9,909.53x = 81,094,352.28
  5. Step 5: Solve for x
    x = 81,094,352.28/9,909.53
  6. Step 6: Final answer
    x = 8,183.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.