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Finding the Fourth Proportional to 9,543, 13,168.67 and 5,294.22

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Solution

The fourth proportional to 9,543, 13,168.67 and 5,294.22 is: 7,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543 : 13,168.67 = 5,294.22 : x
  2. Step 2: Convert to fraction form
    9,543/13,168.67 = 5,294.22/x
  3. Step 3: Cross multiply
    9,543x = 13,168.67 × 5,294.22
  4. Step 4: Simplify right side
    9,543x = 69,717,809.62
  5. Step 5: Solve for x
    x = 69,717,809.62/9,543
  6. Step 6: Final answer
    x = 7,305.65

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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.