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Finding the Fourth Proportional to 9,178.13, 12,665.81 and 4,986.38

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Solution

The fourth proportional to 9,178.13, 12,665.81 and 4,986.38 is: 6,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.13 : 12,665.81 = 4,986.38 : x
  2. Step 2: Convert to fraction form
    9,178.13/12,665.81 = 4,986.38/x
  3. Step 3: Cross multiply
    9,178.13x = 12,665.81 × 4,986.38
  4. Step 4: Simplify right side
    9,178.13x = 63,156,490.80
  5. Step 5: Solve for x
    x = 63,156,490.80/9,178.13
  6. Step 6: Final answer
    x = 6,881.20

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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.