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Finding the Fourth Proportional to 9,199.36, 12,705.46 and 6,210

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Solution

The fourth proportional to 9,199.36, 12,705.46 and 6,210 is: 8,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.36 : 12,705.46 = 6,210 : x
  2. Step 2: Convert to fraction form
    9,199.36/12,705.46 = 6,210/x
  3. Step 3: Cross multiply
    9,199.36x = 12,705.46 × 6,210
  4. Step 4: Simplify right side
    9,199.36x = 78,900,891.08
  5. Step 5: Solve for x
    x = 78,900,891.08/9,199.36
  6. Step 6: Final answer
    x = 8,576.78

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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.