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Finding the Fourth Proportional to 9,181.61, 12,670.63 and 5,202.72

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Solution

The fourth proportional to 9,181.61, 12,670.63 and 5,202.72 is: 7,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.61 : 12,670.63 = 5,202.72 : x
  2. Step 2: Convert to fraction form
    9,181.61/12,670.63 = 5,202.72/x
  3. Step 3: Cross multiply
    9,181.61x = 12,670.63 × 5,202.72
  4. Step 4: Simplify right side
    9,181.61x = 65,921,727.11
  5. Step 5: Solve for x
    x = 65,921,727.11/9,181.61
  6. Step 6: Final answer
    x = 7,179.76

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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.