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Finding the Fourth Proportional to 9,357.46, 14,017.79 and 7,266.13

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Solution

The fourth proportional to 9,357.46, 14,017.79 and 7,266.13 is: 10,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.46 : 14,017.79 = 7,266.13 : x
  2. Step 2: Convert to fraction form
    9,357.46/14,017.79 = 7,266.13/x
  3. Step 3: Cross multiply
    9,357.46x = 14,017.79 × 7,266.13
  4. Step 4: Simplify right side
    9,357.46x = 101,855,067.57
  5. Step 5: Solve for x
    x = 101,855,067.57/9,357.46
  6. Step 6: Final answer
    x = 10,884.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.