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Finding the Fourth Proportional to 6,624.27, 9,880.59 and 6,165

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Solution

The fourth proportional to 6,624.27, 9,880.59 and 6,165 is: 9,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.27 : 9,880.59 = 6,165 : x
  2. Step 2: Convert to fraction form
    6,624.27/9,880.59 = 6,165/x
  3. Step 3: Cross multiply
    6,624.27x = 9,880.59 × 6,165
  4. Step 4: Simplify right side
    6,624.27x = 60,913,837.35
  5. Step 5: Solve for x
    x = 60,913,837.35/6,624.27
  6. Step 6: Final answer
    x = 9,195.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.