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Finding the Fourth Proportional to 6,707.46, 9,249.82 and 5,009.70

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Solution

The fourth proportional to 6,707.46, 9,249.82 and 5,009.70 is: 6,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.46 : 9,249.82 = 5,009.70 : x
  2. Step 2: Convert to fraction form
    6,707.46/9,249.82 = 5,009.70/x
  3. Step 3: Cross multiply
    6,707.46x = 9,249.82 × 5,009.70
  4. Step 4: Simplify right side
    6,707.46x = 46,338,823.25
  5. Step 5: Solve for x
    x = 46,338,823.25/6,707.46
  6. Step 6: Final answer
    x = 6,908.55

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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.