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Finding the Fourth Proportional to 9,857.25, 13,605.29 and 6,500.67

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Solution

The fourth proportional to 9,857.25, 13,605.29 and 6,500.67 is: 8,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.25 : 13,605.29 = 6,500.67 : x
  2. Step 2: Convert to fraction form
    9,857.25/13,605.29 = 6,500.67/x
  3. Step 3: Cross multiply
    9,857.25x = 13,605.29 × 6,500.67
  4. Step 4: Simplify right side
    9,857.25x = 88,443,500.54
  5. Step 5: Solve for x
    x = 88,443,500.54/9,857.25
  6. Step 6: Final answer
    x = 8,972.43

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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.