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Finding the Fourth Proportional to 6,547.38, 9,819.24 and 2,596.86

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Solution

The fourth proportional to 6,547.38, 9,819.24 and 2,596.86 is: 3,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.38 : 9,819.24 = 2,596.86 : x
  2. Step 2: Convert to fraction form
    6,547.38/9,819.24 = 2,596.86/x
  3. Step 3: Cross multiply
    6,547.38x = 9,819.24 × 2,596.86
  4. Step 4: Simplify right side
    6,547.38x = 25,499,191.59
  5. Step 5: Solve for x
    x = 25,499,191.59/6,547.38
  6. Step 6: Final answer
    x = 3,894.56

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