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Finding the Fourth Proportional to 6,941.07, 9,578.33 and 4,288.71

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Solution

The fourth proportional to 6,941.07, 9,578.33 and 4,288.71 is: 5,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.07 : 9,578.33 = 4,288.71 : x
  2. Step 2: Convert to fraction form
    6,941.07/9,578.33 = 4,288.71/x
  3. Step 3: Cross multiply
    6,941.07x = 9,578.33 × 4,288.71
  4. Step 4: Simplify right side
    6,941.07x = 41,078,658.21
  5. Step 5: Solve for x
    x = 41,078,658.21/6,941.07
  6. Step 6: Final answer
    x = 5,918.20

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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.