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Finding the Fourth Proportional to 9,377.13, 12,946.06 and 5,845.13

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Solution

The fourth proportional to 9,377.13, 12,946.06 and 5,845.13 is: 8,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.13 : 12,946.06 = 5,845.13 : x
  2. Step 2: Convert to fraction form
    9,377.13/12,946.06 = 5,845.13/x
  3. Step 3: Cross multiply
    9,377.13x = 12,946.06 × 5,845.13
  4. Step 4: Simplify right side
    9,377.13x = 75,671,403.69
  5. Step 5: Solve for x
    x = 75,671,403.69/9,377.13
  6. Step 6: Final answer
    x = 8,069.78

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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.