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Finding the Fourth Proportional to 6,706.65, 9,249.57 and 4,317.06

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Solution

The fourth proportional to 6,706.65, 9,249.57 and 4,317.06 is: 5,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.65 : 9,249.57 = 4,317.06 : x
  2. Step 2: Convert to fraction form
    6,706.65/9,249.57 = 4,317.06/x
  3. Step 3: Cross multiply
    6,706.65x = 9,249.57 × 4,317.06
  4. Step 4: Simplify right side
    6,706.65x = 39,930,948.66
  5. Step 5: Solve for x
    x = 39,930,948.66/6,706.65
  6. Step 6: Final answer
    x = 5,953.93

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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.