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Finding the Fourth Proportional to 9,143.64, 13,714.56 and 2,569.68

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Solution

The fourth proportional to 9,143.64, 13,714.56 and 2,569.68 is: 3,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.64 : 13,714.56 = 2,569.68 : x
  2. Step 2: Convert to fraction form
    9,143.64/13,714.56 = 2,569.68/x
  3. Step 3: Cross multiply
    9,143.64x = 13,714.56 × 2,569.68
  4. Step 4: Simplify right side
    9,143.64x = 35,242,030.54
  5. Step 5: Solve for x
    x = 35,242,030.54/9,143.64
  6. Step 6: Final answer
    x = 3,854.27

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