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Finding the Fourth Proportional to 9,426.75, 13,009.14 and 5,393.96

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Solution

The fourth proportional to 9,426.75, 13,009.14 and 5,393.96 is: 7,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.75 : 13,009.14 = 5,393.96 : x
  2. Step 2: Convert to fraction form
    9,426.75/13,009.14 = 5,393.96/x
  3. Step 3: Cross multiply
    9,426.75x = 13,009.14 × 5,393.96
  4. Step 4: Simplify right side
    9,426.75x = 70,170,780.79
  5. Step 5: Solve for x
    x = 70,170,780.79/9,426.75
  6. Step 6: Final answer
    x = 7,443.79

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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.