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Finding the Fourth Proportional to 6,182.86, 9,275.10 and 3,261.37

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Solution

The fourth proportional to 6,182.86, 9,275.10 and 3,261.37 is: 4,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.86 : 9,275.10 = 3,261.37 : x
  2. Step 2: Convert to fraction form
    6,182.86/9,275.10 = 3,261.37/x
  3. Step 3: Cross multiply
    6,182.86x = 9,275.10 × 3,261.37
  4. Step 4: Simplify right side
    6,182.86x = 30,249,532.89
  5. Step 5: Solve for x
    x = 30,249,532.89/6,182.86
  6. Step 6: Final answer
    x = 4,892.48

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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.