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Finding the Fourth Proportional to 6,117.86, 9,176.82 and 1,500.86

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Solution

The fourth proportional to 6,117.86, 9,176.82 and 1,500.86 is: 2,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.86 : 9,176.82 = 1,500.86 : x
  2. Step 2: Convert to fraction form
    6,117.86/9,176.82 = 1,500.86/x
  3. Step 3: Cross multiply
    6,117.86x = 9,176.82 × 1,500.86
  4. Step 4: Simplify right side
    6,117.86x = 13,773,122.07
  5. Step 5: Solve for x
    x = 13,773,122.07/6,117.86
  6. Step 6: Final answer
    x = 2,251.30

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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.