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Finding the Fourth Proportional to 9,405.74, 12,979.38 and 5,155.98

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Solution

The fourth proportional to 9,405.74, 12,979.38 and 5,155.98 is: 7,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.74 : 12,979.38 = 5,155.98 : x
  2. Step 2: Convert to fraction form
    9,405.74/12,979.38 = 5,155.98/x
  3. Step 3: Cross multiply
    9,405.74x = 12,979.38 × 5,155.98
  4. Step 4: Simplify right side
    9,405.74x = 66,921,423.69
  5. Step 5: Solve for x
    x = 66,921,423.69/9,405.74
  6. Step 6: Final answer
    x = 7,114.96

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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.