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Finding the Fourth Proportional to 9,972.39, 14,840.87 and 9,640.19

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Solution

The fourth proportional to 9,972.39, 14,840.87 and 9,640.19 is: 14,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.39 : 14,840.87 = 9,640.19 : x
  2. Step 2: Convert to fraction form
    9,972.39/14,840.87 = 9,640.19/x
  3. Step 3: Cross multiply
    9,972.39x = 14,840.87 × 9,640.19
  4. Step 4: Simplify right side
    9,972.39x = 143,068,806.57
  5. Step 5: Solve for x
    x = 143,068,806.57/9,972.39
  6. Step 6: Final answer
    x = 14,346.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.