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Finding the Fourth Proportional to 9,963.88, 14,947.64 and 4,117.32

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Solution

The fourth proportional to 9,963.88, 14,947.64 and 4,117.32 is: 6,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.88 : 14,947.64 = 4,117.32 : x
  2. Step 2: Convert to fraction form
    9,963.88/14,947.64 = 4,117.32/x
  3. Step 3: Cross multiply
    9,963.88x = 14,947.64 × 4,117.32
  4. Step 4: Simplify right side
    9,963.88x = 61,544,217.12
  5. Step 5: Solve for x
    x = 61,544,217.12/9,963.88
  6. Step 6: Final answer
    x = 6,176.73

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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.