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Finding the Fourth Proportional to 6,442.76, 9,664.90 and 2,281.90

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Solution

The fourth proportional to 6,442.76, 9,664.90 and 2,281.90 is: 3,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.76 : 9,664.90 = 2,281.90 : x
  2. Step 2: Convert to fraction form
    6,442.76/9,664.90 = 2,281.90/x
  3. Step 3: Cross multiply
    6,442.76x = 9,664.90 × 2,281.90
  4. Step 4: Simplify right side
    6,442.76x = 22,054,335.31
  5. Step 5: Solve for x
    x = 22,054,335.31/6,442.76
  6. Step 6: Final answer
    x = 3,423.12

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