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Finding the Fourth Proportional to 9,179.94, 12,667.96 and 4,988.10

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Solution

The fourth proportional to 9,179.94, 12,667.96 and 4,988.10 is: 6,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.94 : 12,667.96 = 4,988.10 : x
  2. Step 2: Convert to fraction form
    9,179.94/12,667.96 = 4,988.10/x
  3. Step 3: Cross multiply
    9,179.94x = 12,667.96 × 4,988.10
  4. Step 4: Simplify right side
    9,179.94x = 63,189,051.28
  5. Step 5: Solve for x
    x = 63,189,051.28/9,179.94
  6. Step 6: Final answer
    x = 6,883.38

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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.