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Finding the Fourth Proportional to 9,283.63, 12,811.27 and 5,034.61

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Solution

The fourth proportional to 9,283.63, 12,811.27 and 5,034.61 is: 6,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.63 : 12,811.27 = 5,034.61 : x
  2. Step 2: Convert to fraction form
    9,283.63/12,811.27 = 5,034.61/x
  3. Step 3: Cross multiply
    9,283.63x = 12,811.27 × 5,034.61
  4. Step 4: Simplify right side
    9,283.63x = 64,499,748.05
  5. Step 5: Solve for x
    x = 64,499,748.05/9,283.63
  6. Step 6: Final answer
    x = 6,947.69

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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.