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Finding the Fourth Proportional to 9,264.60, 13,896.90 and 9,178.20

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Solution

The fourth proportional to 9,264.60, 13,896.90 and 9,178.20 is: 13,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.60 : 13,896.90 = 9,178.20 : x
  2. Step 2: Convert to fraction form
    9,264.60/13,896.90 = 9,178.20/x
  3. Step 3: Cross multiply
    9,264.60x = 13,896.90 × 9,178.20
  4. Step 4: Simplify right side
    9,264.60x = 127,548,527.58
  5. Step 5: Solve for x
    x = 127,548,527.58/9,264.60
  6. Step 6: Final answer
    x = 13,767.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.