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Finding the Fourth Proportional to 9,124.65, 13,706.01 and 7,371.61

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Solution

The fourth proportional to 9,124.65, 13,706.01 and 7,371.61 is: 11,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.65 : 13,706.01 = 7,371.61 : x
  2. Step 2: Convert to fraction form
    9,124.65/13,706.01 = 7,371.61/x
  3. Step 3: Cross multiply
    9,124.65x = 13,706.01 × 7,371.61
  4. Step 4: Simplify right side
    9,124.65x = 101,035,326.11
  5. Step 5: Solve for x
    x = 101,035,326.11/9,124.65
  6. Step 6: Final answer
    x = 11,072.79

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Why These Related Problems?

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