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Finding the Fourth Proportional to 6,551.46, 9,049.86 and 5,234.40

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Solution

The fourth proportional to 6,551.46, 9,049.86 and 5,234.40 is: 7,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.46 : 9,049.86 = 5,234.40 : x
  2. Step 2: Convert to fraction form
    6,551.46/9,049.86 = 5,234.40/x
  3. Step 3: Cross multiply
    6,551.46x = 9,049.86 × 5,234.40
  4. Step 4: Simplify right side
    6,551.46x = 47,370,587.18
  5. Step 5: Solve for x
    x = 47,370,587.18/6,551.46
  6. Step 6: Final answer
    x = 7,230.54

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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.