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Finding the Fourth Proportional to 7,186.20, 9,911.61 and 6,345.42

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Solution

The fourth proportional to 7,186.20, 9,911.61 and 6,345.42 is: 8,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.20 : 9,911.61 = 6,345.42 : x
  2. Step 2: Convert to fraction form
    7,186.20/9,911.61 = 6,345.42/x
  3. Step 3: Cross multiply
    7,186.20x = 9,911.61 × 6,345.42
  4. Step 4: Simplify right side
    7,186.20x = 62,893,328.33
  5. Step 5: Solve for x
    x = 62,893,328.33/7,186.20
  6. Step 6: Final answer
    x = 8,751.96

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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.