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Finding the Fourth Proportional to 6,934.47, 9,569.52 and 3,790.67

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Solution

The fourth proportional to 6,934.47, 9,569.52 and 3,790.67 is: 5,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.47 : 9,569.52 = 3,790.67 : x
  2. Step 2: Convert to fraction form
    6,934.47/9,569.52 = 3,790.67/x
  3. Step 3: Cross multiply
    6,934.47x = 9,569.52 × 3,790.67
  4. Step 4: Simplify right side
    6,934.47x = 36,274,844.53
  5. Step 5: Solve for x
    x = 36,274,844.53/6,934.47
  6. Step 6: Final answer
    x = 5,231.09

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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.