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Finding the Fourth Proportional to 9,872.96, 14,746.39 and 8,934.45

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Solution

The fourth proportional to 9,872.96, 14,746.39 and 8,934.45 is: 13,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.96 : 14,746.39 = 8,934.45 : x
  2. Step 2: Convert to fraction form
    9,872.96/14,746.39 = 8,934.45/x
  3. Step 3: Cross multiply
    9,872.96x = 14,746.39 × 8,934.45
  4. Step 4: Simplify right side
    9,872.96x = 131,750,884.14
  5. Step 5: Solve for x
    x = 131,750,884.14/9,872.96
  6. Step 6: Final answer
    x = 13,344.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.