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Finding the Fourth Proportional to 9,456.30, 13,049.46 and 5,264.46

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Solution

The fourth proportional to 9,456.30, 13,049.46 and 5,264.46 is: 7,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.30 : 13,049.46 = 5,264.46 : x
  2. Step 2: Convert to fraction form
    9,456.30/13,049.46 = 5,264.46/x
  3. Step 3: Cross multiply
    9,456.30x = 13,049.46 × 5,264.46
  4. Step 4: Simplify right side
    9,456.30x = 68,698,360.19
  5. Step 5: Solve for x
    x = 68,698,360.19/9,456.30
  6. Step 6: Final answer
    x = 7,264.82

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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.