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Finding the Fourth Proportional to 6,409.15, 9,613.73 and 2,710.42

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Solution

The fourth proportional to 6,409.15, 9,613.73 and 2,710.42 is: 4,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.15 : 9,613.73 = 2,710.42 : x
  2. Step 2: Convert to fraction form
    6,409.15/9,613.73 = 2,710.42/x
  3. Step 3: Cross multiply
    6,409.15x = 9,613.73 × 2,710.42
  4. Step 4: Simplify right side
    6,409.15x = 26,057,246.07
  5. Step 5: Solve for x
    x = 26,057,246.07/6,409.15
  6. Step 6: Final answer
    x = 4,065.63

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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.