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Finding the Fourth Proportional to 9,395.69, 12,960.18 and 6,042.87

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Solution

The fourth proportional to 9,395.69, 12,960.18 and 6,042.87 is: 8,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.69 : 12,960.18 = 6,042.87 : x
  2. Step 2: Convert to fraction form
    9,395.69/12,960.18 = 6,042.87/x
  3. Step 3: Cross multiply
    9,395.69x = 12,960.18 × 6,042.87
  4. Step 4: Simplify right side
    9,395.69x = 78,316,682.92
  5. Step 5: Solve for x
    x = 78,316,682.92/9,395.69
  6. Step 6: Final answer
    x = 8,335.39

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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.