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Finding the Fourth Proportional to 9,179.12, 12,667.08 and 4,987.28

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Solution

The fourth proportional to 9,179.12, 12,667.08 and 4,987.28 is: 6,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.12 : 12,667.08 = 4,987.28 : x
  2. Step 2: Convert to fraction form
    9,179.12/12,667.08 = 4,987.28/x
  3. Step 3: Cross multiply
    9,179.12x = 12,667.08 × 4,987.28
  4. Step 4: Simplify right side
    9,179.12x = 63,174,274.74
  5. Step 5: Solve for x
    x = 63,174,274.74/9,179.12
  6. Step 6: Final answer
    x = 6,882.39

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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.