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Finding the Fourth Proportional to 9,897.21, 13,658.79 and 6,496.25

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Solution

The fourth proportional to 9,897.21, 13,658.79 and 6,496.25 is: 8,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.21 : 13,658.79 = 6,496.25 : x
  2. Step 2: Convert to fraction form
    9,897.21/13,658.79 = 6,496.25/x
  3. Step 3: Cross multiply
    9,897.21x = 13,658.79 × 6,496.25
  4. Step 4: Simplify right side
    9,897.21x = 88,730,948.68
  5. Step 5: Solve for x
    x = 88,730,948.68/9,897.21
  6. Step 6: Final answer
    x = 8,965.25

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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.