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Finding the Fourth Proportional to 9,182.61, 12,672.01 and 5,203.72

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Solution

The fourth proportional to 9,182.61, 12,672.01 and 5,203.72 is: 7,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.61 : 12,672.01 = 5,203.72 : x
  2. Step 2: Convert to fraction form
    9,182.61/12,672.01 = 5,203.72/x
  3. Step 3: Cross multiply
    9,182.61x = 12,672.01 × 5,203.72
  4. Step 4: Simplify right side
    9,182.61x = 65,941,591.88
  5. Step 5: Solve for x
    x = 65,941,591.88/9,182.61
  6. Step 6: Final answer
    x = 7,181.14

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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.