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Finding the Fourth Proportional to 9,321.60, 12,830.40 and 8,803.20

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Solution

The fourth proportional to 9,321.60, 12,830.40 and 8,803.20 is: 12,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.60 : 12,830.40 = 8,803.20 : x
  2. Step 2: Convert to fraction form
    9,321.60/12,830.40 = 8,803.20/x
  3. Step 3: Cross multiply
    9,321.60x = 12,830.40 × 8,803.20
  4. Step 4: Simplify right side
    9,321.60x = 112,948,577.28
  5. Step 5: Solve for x
    x = 112,948,577.28/9,321.60
  6. Step 6: Final answer
    x = 12,116.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.