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Finding the Fourth Proportional to 9,429.44, 13,011.18 and 5,449.78

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Solution

The fourth proportional to 9,429.44, 13,011.18 and 5,449.78 is: 7,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.44 : 13,011.18 = 5,449.78 : x
  2. Step 2: Convert to fraction form
    9,429.44/13,011.18 = 5,449.78/x
  3. Step 3: Cross multiply
    9,429.44x = 13,011.18 × 5,449.78
  4. Step 4: Simplify right side
    9,429.44x = 70,908,068.54
  5. Step 5: Solve for x
    x = 70,908,068.54/9,429.44
  6. Step 6: Final answer
    x = 7,519.86

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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.