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Finding the Fourth Proportional to 9,708.72, 13,402.86 and 7,421.49

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Solution

The fourth proportional to 9,708.72, 13,402.86 and 7,421.49 is: 10,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.72 : 13,402.86 = 7,421.49 : x
  2. Step 2: Convert to fraction form
    9,708.72/13,402.86 = 7,421.49/x
  3. Step 3: Cross multiply
    9,708.72x = 13,402.86 × 7,421.49
  4. Step 4: Simplify right side
    9,708.72x = 99,469,191.46
  5. Step 5: Solve for x
    x = 99,469,191.46/9,708.72
  6. Step 6: Final answer
    x = 10,245.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.