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Finding the Fourth Proportional to 6,165.63, 9,247.53 and 2,269.13

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Solution

The fourth proportional to 6,165.63, 9,247.53 and 2,269.13 is: 3,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.63 : 9,247.53 = 2,269.13 : x
  2. Step 2: Convert to fraction form
    6,165.63/9,247.53 = 2,269.13/x
  3. Step 3: Cross multiply
    6,165.63x = 9,247.53 × 2,269.13
  4. Step 4: Simplify right side
    6,165.63x = 20,983,801.51
  5. Step 5: Solve for x
    x = 20,983,801.51/6,165.63
  6. Step 6: Final answer
    x = 3,403.35

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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.