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Finding the Fourth Proportional to 6,842.46, 9,445.15 and 5,327.02

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Solution

The fourth proportional to 6,842.46, 9,445.15 and 5,327.02 is: 7,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.46 : 9,445.15 = 5,327.02 : x
  2. Step 2: Convert to fraction form
    6,842.46/9,445.15 = 5,327.02/x
  3. Step 3: Cross multiply
    6,842.46x = 9,445.15 × 5,327.02
  4. Step 4: Simplify right side
    6,842.46x = 50,314,466.02
  5. Step 5: Solve for x
    x = 50,314,466.02/6,842.46
  6. Step 6: Final answer
    x = 7,353.27

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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.