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Finding the Fourth Proportional to 6,107.86, 9,155.65 and 2,412.71

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Solution

The fourth proportional to 6,107.86, 9,155.65 and 2,412.71 is: 3,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.86 : 9,155.65 = 2,412.71 : x
  2. Step 2: Convert to fraction form
    6,107.86/9,155.65 = 2,412.71/x
  3. Step 3: Cross multiply
    6,107.86x = 9,155.65 × 2,412.71
  4. Step 4: Simplify right side
    6,107.86x = 22,089,928.31
  5. Step 5: Solve for x
    x = 22,089,928.31/6,107.86
  6. Step 6: Final answer
    x = 3,616.64

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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.