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Finding the Fourth Proportional to 7,178.26, 9,906.06 and 4,034.74

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Solution

The fourth proportional to 7,178.26, 9,906.06 and 4,034.74 is: 5,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.26 : 9,906.06 = 4,034.74 : x
  2. Step 2: Convert to fraction form
    7,178.26/9,906.06 = 4,034.74/x
  3. Step 3: Cross multiply
    7,178.26x = 9,906.06 × 4,034.74
  4. Step 4: Simplify right side
    7,178.26x = 39,968,376.52
  5. Step 5: Solve for x
    x = 39,968,376.52/7,178.26
  6. Step 6: Final answer
    x = 5,567.98

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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.