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Finding the Fourth Proportional to 9,282.16, 13,920.48 and 2,706.25

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Solution

The fourth proportional to 9,282.16, 13,920.48 and 2,706.25 is: 4,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.16 : 13,920.48 = 2,706.25 : x
  2. Step 2: Convert to fraction form
    9,282.16/13,920.48 = 2,706.25/x
  3. Step 3: Cross multiply
    9,282.16x = 13,920.48 × 2,706.25
  4. Step 4: Simplify right side
    9,282.16x = 37,672,299
  5. Step 5: Solve for x
    x = 37,672,299/9,282.16
  6. Step 6: Final answer
    x = 4,058.57

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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.