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Finding the Fourth Proportional to 6,387.31, 9,580.95 and 2,005.11

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Solution

The fourth proportional to 6,387.31, 9,580.95 and 2,005.11 is: 3,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.31 : 9,580.95 = 2,005.11 : x
  2. Step 2: Convert to fraction form
    6,387.31/9,580.95 = 2,005.11/x
  3. Step 3: Cross multiply
    6,387.31x = 9,580.95 × 2,005.11
  4. Step 4: Simplify right side
    6,387.31x = 19,210,858.65
  5. Step 5: Solve for x
    x = 19,210,858.65/6,387.31
  6. Step 6: Final answer
    x = 3,007.66

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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.