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Finding the Fourth Proportional to 9,363.96, 14,046 and 2,344.09

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Solution

The fourth proportional to 9,363.96, 14,046 and 2,344.09 is: 3,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.96 : 14,046 = 2,344.09 : x
  2. Step 2: Convert to fraction form
    9,363.96/14,046 = 2,344.09/x
  3. Step 3: Cross multiply
    9,363.96x = 14,046 × 2,344.09
  4. Step 4: Simplify right side
    9,363.96x = 32,925,088.14
  5. Step 5: Solve for x
    x = 32,925,088.14/9,363.96
  6. Step 6: Final answer
    x = 3,516.15

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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.