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Finding the Fourth Proportional to 9,354.64, 12,894.24 and 8,829.76

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Solution

The fourth proportional to 9,354.64, 12,894.24 and 8,829.76 is: 12,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.64 : 12,894.24 = 8,829.76 : x
  2. Step 2: Convert to fraction form
    9,354.64/12,894.24 = 8,829.76/x
  3. Step 3: Cross multiply
    9,354.64x = 12,894.24 × 8,829.76
  4. Step 4: Simplify right side
    9,354.64x = 113,853,044.58
  5. Step 5: Solve for x
    x = 113,853,044.58/9,354.64
  6. Step 6: Final answer
    x = 12,170.76

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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.