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Finding the Fourth Proportional to 9,112.86, 12,576.20 and 5,134.41

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Solution

The fourth proportional to 9,112.86, 12,576.20 and 5,134.41 is: 7,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.86 : 12,576.20 = 5,134.41 : x
  2. Step 2: Convert to fraction form
    9,112.86/12,576.20 = 5,134.41/x
  3. Step 3: Cross multiply
    9,112.86x = 12,576.20 × 5,134.41
  4. Step 4: Simplify right side
    9,112.86x = 64,571,341.37
  5. Step 5: Solve for x
    x = 64,571,341.37/9,112.86
  6. Step 6: Final answer
    x = 7,085.74

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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.