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Finding the Fourth Proportional to 9,407.46, 12,976.38 and 6,054.62

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Solution

The fourth proportional to 9,407.46, 12,976.38 and 6,054.62 is: 8,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.46 : 12,976.38 = 6,054.62 : x
  2. Step 2: Convert to fraction form
    9,407.46/12,976.38 = 6,054.62/x
  3. Step 3: Cross multiply
    9,407.46x = 12,976.38 × 6,054.62
  4. Step 4: Simplify right side
    9,407.46x = 78,567,049.88
  5. Step 5: Solve for x
    x = 78,567,049.88/9,407.46
  6. Step 6: Final answer
    x = 8,351.57

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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.