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Finding the Fourth Proportional to 9,219.60, 13,829.40 and 8,672.40

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Solution

The fourth proportional to 9,219.60, 13,829.40 and 8,672.40 is: 13,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.60 : 13,829.40 = 8,672.40 : x
  2. Step 2: Convert to fraction form
    9,219.60/13,829.40 = 8,672.40/x
  3. Step 3: Cross multiply
    9,219.60x = 13,829.40 × 8,672.40
  4. Step 4: Simplify right side
    9,219.60x = 119,934,088.56
  5. Step 5: Solve for x
    x = 119,934,088.56/9,219.60
  6. Step 6: Final answer
    x = 13,008.60

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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.