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Finding the Fourth Proportional to 9,902.15, 13,663.23 and 5,651.27

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Solution

The fourth proportional to 9,902.15, 13,663.23 and 5,651.27 is: 7,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.15 : 13,663.23 = 5,651.27 : x
  2. Step 2: Convert to fraction form
    9,902.15/13,663.23 = 5,651.27/x
  3. Step 3: Cross multiply
    9,902.15x = 13,663.23 × 5,651.27
  4. Step 4: Simplify right side
    9,902.15x = 77,214,595.32
  5. Step 5: Solve for x
    x = 77,214,595.32/9,902.15
  6. Step 6: Final answer
    x = 7,797.76

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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.