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Finding the Fourth Proportional to 9,281.54, 12,802.10 and 5,742.65

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Solution

The fourth proportional to 9,281.54, 12,802.10 and 5,742.65 is: 7,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.54 : 12,802.10 = 5,742.65 : x
  2. Step 2: Convert to fraction form
    9,281.54/12,802.10 = 5,742.65/x
  3. Step 3: Cross multiply
    9,281.54x = 12,802.10 × 5,742.65
  4. Step 4: Simplify right side
    9,281.54x = 73,517,886.84
  5. Step 5: Solve for x
    x = 73,517,886.84/9,281.54
  6. Step 6: Final answer
    x = 7,920.88

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