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Finding the Fourth Proportional to 10,931.80, 16,397.70 and 9,506.20

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Solution

The fourth proportional to 10,931.80, 16,397.70 and 9,506.20 is: 14,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.80 : 16,397.70 = 9,506.20 : x
  2. Step 2: Convert to fraction form
    10,931.80/16,397.70 = 9,506.20/x
  3. Step 3: Cross multiply
    10,931.80x = 16,397.70 × 9,506.20
  4. Step 4: Simplify right side
    10,931.80x = 155,879,815.74
  5. Step 5: Solve for x
    x = 155,879,815.74/10,931.80
  6. Step 6: Final answer
    x = 14,259.30

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