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Finding the Fourth Proportional to 9,235.22, 12,748.79 and 5,882.63

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Solution

The fourth proportional to 9,235.22, 12,748.79 and 5,882.63 is: 8,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.22 : 12,748.79 = 5,882.63 : x
  2. Step 2: Convert to fraction form
    9,235.22/12,748.79 = 5,882.63/x
  3. Step 3: Cross multiply
    9,235.22x = 12,748.79 × 5,882.63
  4. Step 4: Simplify right side
    9,235.22x = 74,996,365.48
  5. Step 5: Solve for x
    x = 74,996,365.48/9,235.22
  6. Step 6: Final answer
    x = 8,120.70

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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.