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Finding the Fourth Proportional to 9,850.34, 13,592.94 and 5,374.10

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Solution

The fourth proportional to 9,850.34, 13,592.94 and 5,374.10 is: 7,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.34 : 13,592.94 = 5,374.10 : x
  2. Step 2: Convert to fraction form
    9,850.34/13,592.94 = 5,374.10/x
  3. Step 3: Cross multiply
    9,850.34x = 13,592.94 × 5,374.10
  4. Step 4: Simplify right side
    9,850.34x = 73,049,818.85
  5. Step 5: Solve for x
    x = 73,049,818.85/9,850.34
  6. Step 6: Final answer
    x = 7,415.97

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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.