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Finding the Fourth Proportional to 9,963.58, 14,925.92 and 7,762

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Solution

The fourth proportional to 9,963.58, 14,925.92 and 7,762 is: 11,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.58 : 14,925.92 = 7,762 : x
  2. Step 2: Convert to fraction form
    9,963.58/14,925.92 = 7,762/x
  3. Step 3: Cross multiply
    9,963.58x = 14,925.92 × 7,762
  4. Step 4: Simplify right side
    9,963.58x = 115,854,991.04
  5. Step 5: Solve for x
    x = 115,854,991.04/9,963.58
  6. Step 6: Final answer
    x = 11,627.85

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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.