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Finding the Fourth Proportional to 8,947, 13,427.42 and 6,192.92

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Solution

The fourth proportional to 8,947, 13,427.42 and 6,192.92 is: 9,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947 : 13,427.42 = 6,192.92 : x
  2. Step 2: Convert to fraction form
    8,947/13,427.42 = 6,192.92/x
  3. Step 3: Cross multiply
    8,947x = 13,427.42 × 6,192.92
  4. Step 4: Simplify right side
    8,947x = 83,154,937.87
  5. Step 5: Solve for x
    x = 83,154,937.87/8,947
  6. Step 6: Final answer
    x = 9,294.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.