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Finding the Fourth Proportional to 6,658.65, 9,227.78 and 6,564.69

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Solution

The fourth proportional to 6,658.65, 9,227.78 and 6,564.69 is: 9,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.65 : 9,227.78 = 6,564.69 : x
  2. Step 2: Convert to fraction form
    6,658.65/9,227.78 = 6,564.69/x
  3. Step 3: Cross multiply
    6,658.65x = 9,227.78 × 6,564.69
  4. Step 4: Simplify right side
    6,658.65x = 60,577,515.09
  5. Step 5: Solve for x
    x = 60,577,515.09/6,658.65
  6. Step 6: Final answer
    x = 9,097.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.