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Finding the Fourth Proportional to 9,478.48, 13,080.22 and 5,229.58

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Solution

The fourth proportional to 9,478.48, 13,080.22 and 5,229.58 is: 7,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.48 : 13,080.22 = 5,229.58 : x
  2. Step 2: Convert to fraction form
    9,478.48/13,080.22 = 5,229.58/x
  3. Step 3: Cross multiply
    9,478.48x = 13,080.22 × 5,229.58
  4. Step 4: Simplify right side
    9,478.48x = 68,404,045.46
  5. Step 5: Solve for x
    x = 68,404,045.46/9,478.48
  6. Step 6: Final answer
    x = 7,216.77

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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.