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Finding the Fourth Proportional to 9,181.94, 12,670.04 and 5,202.20

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Solution

The fourth proportional to 9,181.94, 12,670.04 and 5,202.20 is: 7,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.94 : 12,670.04 = 5,202.20 : x
  2. Step 2: Convert to fraction form
    9,181.94/12,670.04 = 5,202.20/x
  3. Step 3: Cross multiply
    9,181.94x = 12,670.04 × 5,202.20
  4. Step 4: Simplify right side
    9,181.94x = 65,912,018.74
  5. Step 5: Solve for x
    x = 65,912,018.74/9,181.94
  6. Step 6: Final answer
    x = 7,178.45

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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.