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Finding the Fourth Proportional to 6,165.26, 9,256.12 and 5,246.72

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Solution

The fourth proportional to 6,165.26, 9,256.12 and 5,246.72 is: 7,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.26 : 9,256.12 = 5,246.72 : x
  2. Step 2: Convert to fraction form
    6,165.26/9,256.12 = 5,246.72/x
  3. Step 3: Cross multiply
    6,165.26x = 9,256.12 × 5,246.72
  4. Step 4: Simplify right side
    6,165.26x = 48,564,269.93
  5. Step 5: Solve for x
    x = 48,564,269.93/6,165.26
  6. Step 6: Final answer
    x = 7,877.08

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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.