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Finding the Fourth Proportional to 6,457.48, 9,677.71 and 2,559.76

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Solution

The fourth proportional to 6,457.48, 9,677.71 and 2,559.76 is: 3,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.48 : 9,677.71 = 2,559.76 : x
  2. Step 2: Convert to fraction form
    6,457.48/9,677.71 = 2,559.76/x
  3. Step 3: Cross multiply
    6,457.48x = 9,677.71 × 2,559.76
  4. Step 4: Simplify right side
    6,457.48x = 24,772,614.95
  5. Step 5: Solve for x
    x = 24,772,614.95/6,457.48
  6. Step 6: Final answer
    x = 3,836.27

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