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Finding the Fourth Proportional to 9,708, 13,397.04 and 5,292

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Solution

The fourth proportional to 9,708, 13,397.04 and 5,292 is: 7,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708 : 13,397.04 = 5,292 : x
  2. Step 2: Convert to fraction form
    9,708/13,397.04 = 5,292/x
  3. Step 3: Cross multiply
    9,708x = 13,397.04 × 5,292
  4. Step 4: Simplify right side
    9,708x = 70,897,135.68
  5. Step 5: Solve for x
    x = 70,897,135.68/9,708
  6. Step 6: Final answer
    x = 7,302.96

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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.