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Finding the Fourth Proportional to 9,612.81, 14,398.94 and 6,100.96

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Solution

The fourth proportional to 9,612.81, 14,398.94 and 6,100.96 is: 9,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.81 : 14,398.94 = 6,100.96 : x
  2. Step 2: Convert to fraction form
    9,612.81/14,398.94 = 6,100.96/x
  3. Step 3: Cross multiply
    9,612.81x = 14,398.94 × 6,100.96
  4. Step 4: Simplify right side
    9,612.81x = 87,847,356.98
  5. Step 5: Solve for x
    x = 87,847,356.98/9,612.81
  6. Step 6: Final answer
    x = 9,138.58

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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.