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Finding the Fourth Proportional to 9,309.38, 13,973.31 and 7,574.82

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Solution

The fourth proportional to 9,309.38, 13,973.31 and 7,574.82 is: 11,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.38 : 13,973.31 = 7,574.82 : x
  2. Step 2: Convert to fraction form
    9,309.38/13,973.31 = 7,574.82/x
  3. Step 3: Cross multiply
    9,309.38x = 13,973.31 × 7,574.82
  4. Step 4: Simplify right side
    9,309.38x = 105,845,255.65
  5. Step 5: Solve for x
    x = 105,845,255.65/9,309.38
  6. Step 6: Final answer
    x = 11,369.74

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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.