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Finding the Fourth Proportional to 9,120.75, 12,586.74 and 5,141.86

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Solution

The fourth proportional to 9,120.75, 12,586.74 and 5,141.86 is: 7,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.75 : 12,586.74 = 5,141.86 : x
  2. Step 2: Convert to fraction form
    9,120.75/12,586.74 = 5,141.86/x
  3. Step 3: Cross multiply
    9,120.75x = 12,586.74 × 5,141.86
  4. Step 4: Simplify right side
    9,120.75x = 64,719,254.94
  5. Step 5: Solve for x
    x = 64,719,254.94/9,120.75
  6. Step 6: Final answer
    x = 7,095.83

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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.