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Finding the Fourth Proportional to 6,386.78, 9,580.16 and 2,004.57

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Solution

The fourth proportional to 6,386.78, 9,580.16 and 2,004.57 is: 3,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.78 : 9,580.16 = 2,004.57 : x
  2. Step 2: Convert to fraction form
    6,386.78/9,580.16 = 2,004.57/x
  3. Step 3: Cross multiply
    6,386.78x = 9,580.16 × 2,004.57
  4. Step 4: Simplify right side
    6,386.78x = 19,204,069.86
  5. Step 5: Solve for x
    x = 19,204,069.86/6,386.78
  6. Step 6: Final answer
    x = 3,006.85

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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.