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Finding the Fourth Proportional to 9,333.96, 14,001.08 and 2,314

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Solution

The fourth proportional to 9,333.96, 14,001.08 and 2,314 is: 3,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.96 : 14,001.08 = 2,314 : x
  2. Step 2: Convert to fraction form
    9,333.96/14,001.08 = 2,314/x
  3. Step 3: Cross multiply
    9,333.96x = 14,001.08 × 2,314
  4. Step 4: Simplify right side
    9,333.96x = 32,398,499.12
  5. Step 5: Solve for x
    x = 32,398,499.12/9,333.96
  6. Step 6: Final answer
    x = 3,471.03

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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.