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Finding the Fourth Proportional to 9,363.96, 14,041.14 and 3,814.14

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Solution

The fourth proportional to 9,363.96, 14,041.14 and 3,814.14 is: 5,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.96 : 14,041.14 = 3,814.14 : x
  2. Step 2: Convert to fraction form
    9,363.96/14,041.14 = 3,814.14/x
  3. Step 3: Cross multiply
    9,363.96x = 14,041.14 × 3,814.14
  4. Step 4: Simplify right side
    9,363.96x = 53,554,873.72
  5. Step 5: Solve for x
    x = 53,554,873.72/9,363.96
  6. Step 6: Final answer
    x = 5,719.25

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Why These Related Problems?

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