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Finding the Fourth Proportional to 6,181.86, 9,272.71 and 1,501.91

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Solution

The fourth proportional to 6,181.86, 9,272.71 and 1,501.91 is: 2,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.86 : 9,272.71 = 1,501.91 : x
  2. Step 2: Convert to fraction form
    6,181.86/9,272.71 = 1,501.91/x
  3. Step 3: Cross multiply
    6,181.86x = 9,272.71 × 1,501.91
  4. Step 4: Simplify right side
    6,181.86x = 13,926,775.88
  5. Step 5: Solve for x
    x = 13,926,775.88/6,181.86
  6. Step 6: Final answer
    x = 2,252.85

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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.