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Finding the Fourth Proportional to 9,722.14, 14,576.93 and 5,338.42

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Solution

The fourth proportional to 9,722.14, 14,576.93 and 5,338.42 is: 8,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.14 : 14,576.93 = 5,338.42 : x
  2. Step 2: Convert to fraction form
    9,722.14/14,576.93 = 5,338.42/x
  3. Step 3: Cross multiply
    9,722.14x = 14,576.93 × 5,338.42
  4. Step 4: Simplify right side
    9,722.14x = 77,817,711.52
  5. Step 5: Solve for x
    x = 77,817,711.52/9,722.14
  6. Step 6: Final answer
    x = 8,004.18

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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.