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Finding the Fourth Proportional to 6,407.49, 9,608.15 and 2,246.93

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Solution

The fourth proportional to 6,407.49, 9,608.15 and 2,246.93 is: 3,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.49 : 9,608.15 = 2,246.93 : x
  2. Step 2: Convert to fraction form
    6,407.49/9,608.15 = 2,246.93/x
  3. Step 3: Cross multiply
    6,407.49x = 9,608.15 × 2,246.93
  4. Step 4: Simplify right side
    6,407.49x = 21,588,781.20
  5. Step 5: Solve for x
    x = 21,588,781.20/6,407.49
  6. Step 6: Final answer
    x = 3,369.30

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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.