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Finding the Fourth Proportional to 9,992.75, 15,006.14 and 9,574.79

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Solution

The fourth proportional to 9,992.75, 15,006.14 and 9,574.79 is: 14,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.75 : 15,006.14 = 9,574.79 : x
  2. Step 2: Convert to fraction form
    9,992.75/15,006.14 = 9,574.79/x
  3. Step 3: Cross multiply
    9,992.75x = 15,006.14 × 9,574.79
  4. Step 4: Simplify right side
    9,992.75x = 143,680,516.31
  5. Step 5: Solve for x
    x = 143,680,516.31/9,992.75
  6. Step 6: Final answer
    x = 14,378.48

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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.