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Finding the Fourth Proportional to 9,897.10, 13,659.76 and 7,391.76

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Solution

The fourth proportional to 9,897.10, 13,659.76 and 7,391.76 is: 10,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.10 : 13,659.76 = 7,391.76 : x
  2. Step 2: Convert to fraction form
    9,897.10/13,659.76 = 7,391.76/x
  3. Step 3: Cross multiply
    9,897.10x = 13,659.76 × 7,391.76
  4. Step 4: Simplify right side
    9,897.10x = 100,969,667.58
  5. Step 5: Solve for x
    x = 100,969,667.58/9,897.10
  6. Step 6: Final answer
    x = 10,201.94

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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.