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Finding the Fourth Proportional to 9,478.72, 13,081.42 and 5,230.18

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Solution

The fourth proportional to 9,478.72, 13,081.42 and 5,230.18 is: 7,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.72 : 13,081.42 = 5,230.18 : x
  2. Step 2: Convert to fraction form
    9,478.72/13,081.42 = 5,230.18/x
  3. Step 3: Cross multiply
    9,478.72x = 13,081.42 × 5,230.18
  4. Step 4: Simplify right side
    9,478.72x = 68,418,181.26
  5. Step 5: Solve for x
    x = 68,418,181.26/9,478.72
  6. Step 6: Final answer
    x = 7,218.08

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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.