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Finding the Fourth Proportional to 6,490.62, 9,740.07 and 2,330.54

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Solution

The fourth proportional to 6,490.62, 9,740.07 and 2,330.54 is: 3,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.62 : 9,740.07 = 2,330.54 : x
  2. Step 2: Convert to fraction form
    6,490.62/9,740.07 = 2,330.54/x
  3. Step 3: Cross multiply
    6,490.62x = 9,740.07 × 2,330.54
  4. Step 4: Simplify right side
    6,490.62x = 22,699,610.56
  5. Step 5: Solve for x
    x = 22,699,610.56/6,490.62
  6. Step 6: Final answer
    x = 3,497.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.