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Finding the Fourth Proportional to 9,429.12, 13,010.73 and 5,449.46

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Solution

The fourth proportional to 9,429.12, 13,010.73 and 5,449.46 is: 7,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.12 : 13,010.73 = 5,449.46 : x
  2. Step 2: Convert to fraction form
    9,429.12/13,010.73 = 5,449.46/x
  3. Step 3: Cross multiply
    9,429.12x = 13,010.73 × 5,449.46
  4. Step 4: Simplify right side
    9,429.12x = 70,901,452.71
  5. Step 5: Solve for x
    x = 70,901,452.71/9,429.12
  6. Step 6: Final answer
    x = 7,519.41

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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.