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Finding the Fourth Proportional to 6,165.67, 9,259.58 and 5,671.18

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Solution

The fourth proportional to 6,165.67, 9,259.58 and 5,671.18 is: 8,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.67 : 9,259.58 = 5,671.18 : x
  2. Step 2: Convert to fraction form
    6,165.67/9,259.58 = 5,671.18/x
  3. Step 3: Cross multiply
    6,165.67x = 9,259.58 × 5,671.18
  4. Step 4: Simplify right side
    6,165.67x = 52,512,670.25
  5. Step 5: Solve for x
    x = 52,512,670.25/6,165.67
  6. Step 6: Final answer
    x = 8,516.95

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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.