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Finding the Fourth Proportional to 7,178.22, 9,905.90 and 4,034.41

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Solution

The fourth proportional to 7,178.22, 9,905.90 and 4,034.41 is: 5,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.22 : 9,905.90 = 4,034.41 : x
  2. Step 2: Convert to fraction form
    7,178.22/9,905.90 = 4,034.41/x
  3. Step 3: Cross multiply
    7,178.22x = 9,905.90 × 4,034.41
  4. Step 4: Simplify right side
    7,178.22x = 39,964,462.02
  5. Step 5: Solve for x
    x = 39,964,462.02/7,178.22
  6. Step 6: Final answer
    x = 5,567.46

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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.