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Finding the Fourth Proportional to 9,963.96, 14,924.26 and 6,441.68

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Solution

The fourth proportional to 9,963.96, 14,924.26 and 6,441.68 is: 9,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.96 : 14,924.26 = 6,441.68 : x
  2. Step 2: Convert to fraction form
    9,963.96/14,924.26 = 6,441.68/x
  3. Step 3: Cross multiply
    9,963.96x = 14,924.26 × 6,441.68
  4. Step 4: Simplify right side
    9,963.96x = 96,137,307.16
  5. Step 5: Solve for x
    x = 96,137,307.16/9,963.96
  6. Step 6: Final answer
    x = 9,648.50

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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.