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Finding the Fourth Proportional to 10,294.39, 14,194.97 and 6,702.72

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Solution

The fourth proportional to 10,294.39, 14,194.97 and 6,702.72 is: 9,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.39 : 14,194.97 = 6,702.72 : x
  2. Step 2: Convert to fraction form
    10,294.39/14,194.97 = 6,702.72/x
  3. Step 3: Cross multiply
    10,294.39x = 14,194.97 × 6,702.72
  4. Step 4: Simplify right side
    10,294.39x = 95,144,909.32
  5. Step 5: Solve for x
    x = 95,144,909.32/10,294.39
  6. Step 6: Final answer
    x = 9,242.40

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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.