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Finding the Fourth Proportional to 6,109.86, 9,165.32 and 1,950.46

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Solution

The fourth proportional to 6,109.86, 9,165.32 and 1,950.46 is: 2,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.86 : 9,165.32 = 1,950.46 : x
  2. Step 2: Convert to fraction form
    6,109.86/9,165.32 = 1,950.46/x
  3. Step 3: Cross multiply
    6,109.86x = 9,165.32 × 1,950.46
  4. Step 4: Simplify right side
    6,109.86x = 17,876,590.05
  5. Step 5: Solve for x
    x = 17,876,590.05/6,109.86
  6. Step 6: Final answer
    x = 2,925.86

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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.