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Finding the Fourth Proportional to 9,308.07, 12,856.10 and 6,158.79

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Solution

The fourth proportional to 9,308.07, 12,856.10 and 6,158.79 is: 8,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.07 : 12,856.10 = 6,158.79 : x
  2. Step 2: Convert to fraction form
    9,308.07/12,856.10 = 6,158.79/x
  3. Step 3: Cross multiply
    9,308.07x = 12,856.10 × 6,158.79
  4. Step 4: Simplify right side
    9,308.07x = 79,177,989.33
  5. Step 5: Solve for x
    x = 79,177,989.33/9,308.07
  6. Step 6: Final answer
    x = 8,506.38

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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.