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Finding the Fourth Proportional to 9,012, 12,436.43 and 5,033.17

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Solution

The fourth proportional to 9,012, 12,436.43 and 5,033.17 is: 6,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012 : 12,436.43 = 5,033.17 : x
  2. Step 2: Convert to fraction form
    9,012/12,436.43 = 5,033.17/x
  3. Step 3: Cross multiply
    9,012x = 12,436.43 × 5,033.17
  4. Step 4: Simplify right side
    9,012x = 62,594,666.38
  5. Step 5: Solve for x
    x = 62,594,666.38/9,012
  6. Step 6: Final answer
    x = 6,945.70

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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.