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Finding the Fourth Proportional to 6,827.58, 9,381.20 and 5,427.90

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Solution

The fourth proportional to 6,827.58, 9,381.20 and 5,427.90 is: 7,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.58 : 9,381.20 = 5,427.90 : x
  2. Step 2: Convert to fraction form
    6,827.58/9,381.20 = 5,427.90/x
  3. Step 3: Cross multiply
    6,827.58x = 9,381.20 × 5,427.90
  4. Step 4: Simplify right side
    6,827.58x = 50,920,188.34
  5. Step 5: Solve for x
    x = 50,920,188.34/6,827.58
  6. Step 6: Final answer
    x = 7,458.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.