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Finding the Fourth Proportional to 9,847.34, 14,787.74 and 6,581.42

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Solution

The fourth proportional to 9,847.34, 14,787.74 and 6,581.42 is: 9,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.34 : 14,787.74 = 6,581.42 : x
  2. Step 2: Convert to fraction form
    9,847.34/14,787.74 = 6,581.42/x
  3. Step 3: Cross multiply
    9,847.34x = 14,787.74 × 6,581.42
  4. Step 4: Simplify right side
    9,847.34x = 97,324,327.79
  5. Step 5: Solve for x
    x = 97,324,327.79/9,847.34
  6. Step 6: Final answer
    x = 9,883.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.