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Finding the Fourth Proportional to 9,207.12, 12,706.74 and 5,621.88

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Solution

The fourth proportional to 9,207.12, 12,706.74 and 5,621.88 is: 7,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.12 : 12,706.74 = 5,621.88 : x
  2. Step 2: Convert to fraction form
    9,207.12/12,706.74 = 5,621.88/x
  3. Step 3: Cross multiply
    9,207.12x = 12,706.74 × 5,621.88
  4. Step 4: Simplify right side
    9,207.12x = 71,435,767.47
  5. Step 5: Solve for x
    x = 71,435,767.47/9,207.12
  6. Step 6: Final answer
    x = 7,758.75

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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.