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Finding the Fourth Proportional to 9,298.40, 13,947.60 and 8,002.40

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Solution

The fourth proportional to 9,298.40, 13,947.60 and 8,002.40 is: 12,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.40 : 13,947.60 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    9,298.40/13,947.60 = 8,002.40/x
  3. Step 3: Cross multiply
    9,298.40x = 13,947.60 × 8,002.40
  4. Step 4: Simplify right side
    9,298.40x = 111,614,274.24
  5. Step 5: Solve for x
    x = 111,614,274.24/9,298.40
  6. Step 6: Final answer
    x = 12,003.60

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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.