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Finding the Fourth Proportional to 9,178.38, 12,666.11 and 4,986.63

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Solution

The fourth proportional to 9,178.38, 12,666.11 and 4,986.63 is: 6,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.38 : 12,666.11 = 4,986.63 : x
  2. Step 2: Convert to fraction form
    9,178.38/12,666.11 = 4,986.63/x
  3. Step 3: Cross multiply
    9,178.38x = 12,666.11 × 4,986.63
  4. Step 4: Simplify right side
    9,178.38x = 63,161,179.18
  5. Step 5: Solve for x
    x = 63,161,179.18/9,178.38
  6. Step 6: Final answer
    x = 6,881.52

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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.