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Finding the Fourth Proportional to 9,934.64, 13,708.71 and 7,944.47

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Solution

The fourth proportional to 9,934.64, 13,708.71 and 7,944.47 is: 10,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.64 : 13,708.71 = 7,944.47 : x
  2. Step 2: Convert to fraction form
    9,934.64/13,708.71 = 7,944.47/x
  3. Step 3: Cross multiply
    9,934.64x = 13,708.71 × 7,944.47
  4. Step 4: Simplify right side
    9,934.64x = 108,908,435.33
  5. Step 5: Solve for x
    x = 108,908,435.33/9,934.64
  6. Step 6: Final answer
    x = 10,962.49

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