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Finding the Fourth Proportional to 6,386.75, 9,580.12 and 2,004.55

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Solution

The fourth proportional to 6,386.75, 9,580.12 and 2,004.55 is: 3,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.75 : 9,580.12 = 2,004.55 : x
  2. Step 2: Convert to fraction form
    6,386.75/9,580.12 = 2,004.55/x
  3. Step 3: Cross multiply
    6,386.75x = 9,580.12 × 2,004.55
  4. Step 4: Simplify right side
    6,386.75x = 19,203,829.55
  5. Step 5: Solve for x
    x = 19,203,829.55/6,386.75
  6. Step 6: Final answer
    x = 3,006.82

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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.