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Finding the Fourth Proportional to 9,768.44, 13,478.10 and 5,519.58

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Solution

The fourth proportional to 9,768.44, 13,478.10 and 5,519.58 is: 7,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.44 : 13,478.10 = 5,519.58 : x
  2. Step 2: Convert to fraction form
    9,768.44/13,478.10 = 5,519.58/x
  3. Step 3: Cross multiply
    9,768.44x = 13,478.10 × 5,519.58
  4. Step 4: Simplify right side
    9,768.44x = 74,393,451.20
  5. Step 5: Solve for x
    x = 74,393,451.20/9,768.44
  6. Step 6: Final answer
    x = 7,615.70

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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.