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Finding the Fourth Proportional to 7,115.82, 9,835.92 and 6,484.23

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Solution

The fourth proportional to 7,115.82, 9,835.92 and 6,484.23 is: 8,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.82 : 9,835.92 = 6,484.23 : x
  2. Step 2: Convert to fraction form
    7,115.82/9,835.92 = 6,484.23/x
  3. Step 3: Cross multiply
    7,115.82x = 9,835.92 × 6,484.23
  4. Step 4: Simplify right side
    7,115.82x = 63,778,367.54
  5. Step 5: Solve for x
    x = 63,778,367.54/7,115.82
  6. Step 6: Final answer
    x = 8,962.90

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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.