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Finding the Fourth Proportional to 10,400.90, 15,582.15 and 9,709.70

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Solution

The fourth proportional to 10,400.90, 15,582.15 and 9,709.70 is: 14,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.90 : 15,582.15 = 9,709.70 : x
  2. Step 2: Convert to fraction form
    10,400.90/15,582.15 = 9,709.70/x
  3. Step 3: Cross multiply
    10,400.90x = 15,582.15 × 9,709.70
  4. Step 4: Simplify right side
    10,400.90x = 151,298,001.86
  5. Step 5: Solve for x
    x = 151,298,001.86/10,400.90
  6. Step 6: Final answer
    x = 14,546.63

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