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Finding the Fourth Proportional to 9,377, 12,939.14 and 5,184.68

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Solution

The fourth proportional to 9,377, 12,939.14 and 5,184.68 is: 7,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377 : 12,939.14 = 5,184.68 : x
  2. Step 2: Convert to fraction form
    9,377/12,939.14 = 5,184.68/x
  3. Step 3: Cross multiply
    9,377x = 12,939.14 × 5,184.68
  4. Step 4: Simplify right side
    9,377x = 67,085,300.38
  5. Step 5: Solve for x
    x = 67,085,300.38/9,377
  6. Step 6: Final answer
    x = 7,154.24

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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.