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Finding the Fourth Proportional to 9,274.13, 12,793.85 and 8,916.08

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Solution

The fourth proportional to 9,274.13, 12,793.85 and 8,916.08 is: 12,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.13 : 12,793.85 = 8,916.08 : x
  2. Step 2: Convert to fraction form
    9,274.13/12,793.85 = 8,916.08/x
  3. Step 3: Cross multiply
    9,274.13x = 12,793.85 × 8,916.08
  4. Step 4: Simplify right side
    9,274.13x = 114,070,881.56
  5. Step 5: Solve for x
    x = 114,070,881.56/9,274.13
  6. Step 6: Final answer
    x = 12,299.91

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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.