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Finding the Fourth Proportional to 9,282.65, 13,921.23 and 2,706.77

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Solution

The fourth proportional to 9,282.65, 13,921.23 and 2,706.77 is: 4,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.65 : 13,921.23 = 2,706.77 : x
  2. Step 2: Convert to fraction form
    9,282.65/13,921.23 = 2,706.77/x
  3. Step 3: Cross multiply
    9,282.65x = 13,921.23 × 2,706.77
  4. Step 4: Simplify right side
    9,282.65x = 37,681,498.12
  5. Step 5: Solve for x
    x = 37,681,498.12/9,282.65
  6. Step 6: Final answer
    x = 4,059.35

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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.