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Finding the Fourth Proportional to 6,875.64, 9,488.12 and 3,731.76

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Solution

The fourth proportional to 6,875.64, 9,488.12 and 3,731.76 is: 5,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.64 : 9,488.12 = 3,731.76 : x
  2. Step 2: Convert to fraction form
    6,875.64/9,488.12 = 3,731.76/x
  3. Step 3: Cross multiply
    6,875.64x = 9,488.12 × 3,731.76
  4. Step 4: Simplify right side
    6,875.64x = 35,407,348.58
  5. Step 5: Solve for x
    x = 35,407,348.58/6,875.64
  6. Step 6: Final answer
    x = 5,149.68

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