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Finding the Fourth Proportional to 9,246.51, 12,758.67 and 5,267.43

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Solution

The fourth proportional to 9,246.51, 12,758.67 and 5,267.43 is: 7,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.51 : 12,758.67 = 5,267.43 : x
  2. Step 2: Convert to fraction form
    9,246.51/12,758.67 = 5,267.43/x
  3. Step 3: Cross multiply
    9,246.51x = 12,758.67 × 5,267.43
  4. Step 4: Simplify right side
    9,246.51x = 67,205,401.12
  5. Step 5: Solve for x
    x = 67,205,401.12/9,246.51
  6. Step 6: Final answer
    x = 7,268.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.