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Finding the Fourth Proportional to 31,394, 47,091.96 and 9,506

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Solution

The fourth proportional to 31,394, 47,091.96 and 9,506 is: 14,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394 : 47,091.96 = 9,506 : x
  2. Step 2: Convert to fraction form
    31,394/47,091.96 = 9,506/x
  3. Step 3: Cross multiply
    31,394x = 47,091.96 × 9,506
  4. Step 4: Simplify right side
    31,394x = 447,656,171.76
  5. Step 5: Solve for x
    x = 447,656,171.76/31,394
  6. Step 6: Final answer
    x = 14,259.29

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