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Finding the Fourth Proportional to 6,841.44, 9,437.85 and 4,322.34

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Solution

The fourth proportional to 6,841.44, 9,437.85 and 4,322.34 is: 5,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.44 : 9,437.85 = 4,322.34 : x
  2. Step 2: Convert to fraction form
    6,841.44/9,437.85 = 4,322.34/x
  3. Step 3: Cross multiply
    6,841.44x = 9,437.85 × 4,322.34
  4. Step 4: Simplify right side
    6,841.44x = 40,793,574.96
  5. Step 5: Solve for x
    x = 40,793,574.96/6,841.44
  6. Step 6: Final answer
    x = 5,962.72

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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.