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Finding the Fourth Proportional to 9,724.92, 14,564.16 and 5,032.32

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Solution

The fourth proportional to 9,724.92, 14,564.16 and 5,032.32 is: 7,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.92 : 14,564.16 = 5,032.32 : x
  2. Step 2: Convert to fraction form
    9,724.92/14,564.16 = 5,032.32/x
  3. Step 3: Cross multiply
    9,724.92x = 14,564.16 × 5,032.32
  4. Step 4: Simplify right side
    9,724.92x = 73,291,513.65
  5. Step 5: Solve for x
    x = 73,291,513.65/9,724.92
  6. Step 6: Final answer
    x = 7,536.46

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