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Finding the Fourth Proportional to 9,363.42, 12,921.60 and 5,114.40

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Solution

The fourth proportional to 9,363.42, 12,921.60 and 5,114.40 is: 7,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.42 : 12,921.60 = 5,114.40 : x
  2. Step 2: Convert to fraction form
    9,363.42/12,921.60 = 5,114.40/x
  3. Step 3: Cross multiply
    9,363.42x = 12,921.60 × 5,114.40
  4. Step 4: Simplify right side
    9,363.42x = 66,086,231.04
  5. Step 5: Solve for x
    x = 66,086,231.04/9,363.42
  6. Step 6: Final answer
    x = 7,057.92

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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.