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Finding the Fourth Proportional to 9,478.88, 13,081.59 and 5,230.78

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Solution

The fourth proportional to 9,478.88, 13,081.59 and 5,230.78 is: 7,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.88 : 13,081.59 = 5,230.78 : x
  2. Step 2: Convert to fraction form
    9,478.88/13,081.59 = 5,230.78/x
  3. Step 3: Cross multiply
    9,478.88x = 13,081.59 × 5,230.78
  4. Step 4: Simplify right side
    9,478.88x = 68,426,827.78
  5. Step 5: Solve for x
    x = 68,426,827.78/9,478.88
  6. Step 6: Final answer
    x = 7,218.88

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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.