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Finding the Fourth Proportional to 9,182.78, 12,672.18 and 5,203.79

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Solution

The fourth proportional to 9,182.78, 12,672.18 and 5,203.79 is: 7,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.78 : 12,672.18 = 5,203.79 : x
  2. Step 2: Convert to fraction form
    9,182.78/12,672.18 = 5,203.79/x
  3. Step 3: Cross multiply
    9,182.78x = 12,672.18 × 5,203.79
  4. Step 4: Simplify right side
    9,182.78x = 65,943,300.20
  5. Step 5: Solve for x
    x = 65,943,300.20/9,182.78
  6. Step 6: Final answer
    x = 7,181.20

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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.