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Finding the Fourth Proportional to 9,151.78, 13,742.85 and 5,710.90

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Solution

The fourth proportional to 9,151.78, 13,742.85 and 5,710.90 is: 8,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.78 : 13,742.85 = 5,710.90 : x
  2. Step 2: Convert to fraction form
    9,151.78/13,742.85 = 5,710.90/x
  3. Step 3: Cross multiply
    9,151.78x = 13,742.85 × 5,710.90
  4. Step 4: Simplify right side
    9,151.78x = 78,483,944.80
  5. Step 5: Solve for x
    x = 78,483,944.80/9,151.78
  6. Step 6: Final answer
    x = 8,575.82

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