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Finding the Fourth Proportional to 6,216.90, 9,322.86 and 2,706.66

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Solution

The fourth proportional to 6,216.90, 9,322.86 and 2,706.66 is: 4,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.90 : 9,322.86 = 2,706.66 : x
  2. Step 2: Convert to fraction form
    6,216.90/9,322.86 = 2,706.66/x
  3. Step 3: Cross multiply
    6,216.90x = 9,322.86 × 2,706.66
  4. Step 4: Simplify right side
    6,216.90x = 25,233,812.25
  5. Step 5: Solve for x
    x = 25,233,812.25/6,216.90
  6. Step 6: Final answer
    x = 4,058.91

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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.