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Finding the Fourth Proportional to 8,975.13, 12,381.42 and 6,324

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Solution

The fourth proportional to 8,975.13, 12,381.42 and 6,324 is: 8,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.13 : 12,381.42 = 6,324 : x
  2. Step 2: Convert to fraction form
    8,975.13/12,381.42 = 6,324/x
  3. Step 3: Cross multiply
    8,975.13x = 12,381.42 × 6,324
  4. Step 4: Simplify right side
    8,975.13x = 78,300,100.08
  5. Step 5: Solve for x
    x = 78,300,100.08/8,975.13
  6. Step 6: Final answer
    x = 8,724.12

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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.