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Finding the Fourth Proportional to 9,206.62, 12,705.22 and 5,014.88

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Solution

The fourth proportional to 9,206.62, 12,705.22 and 5,014.88 is: 6,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.62 : 12,705.22 = 5,014.88 : x
  2. Step 2: Convert to fraction form
    9,206.62/12,705.22 = 5,014.88/x
  3. Step 3: Cross multiply
    9,206.62x = 12,705.22 × 5,014.88
  4. Step 4: Simplify right side
    9,206.62x = 63,715,153.67
  5. Step 5: Solve for x
    x = 63,715,153.67/9,206.62
  6. Step 6: Final answer
    x = 6,920.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.