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Finding the Fourth Proportional to 9,456.26, 13,049.51 and 5,264.51

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Solution

The fourth proportional to 9,456.26, 13,049.51 and 5,264.51 is: 7,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.26 : 13,049.51 = 5,264.51 : x
  2. Step 2: Convert to fraction form
    9,456.26/13,049.51 = 5,264.51/x
  3. Step 3: Cross multiply
    9,456.26x = 13,049.51 × 5,264.51
  4. Step 4: Simplify right side
    9,456.26x = 68,699,184.32
  5. Step 5: Solve for x
    x = 68,699,184.32/9,456.26
  6. Step 6: Final answer
    x = 7,264.95

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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.