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Finding the Fourth Proportional to 9,331.96, 13,998.08 and 2,312

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Solution

The fourth proportional to 9,331.96, 13,998.08 and 2,312 is: 3,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.96 : 13,998.08 = 2,312 : x
  2. Step 2: Convert to fraction form
    9,331.96/13,998.08 = 2,312/x
  3. Step 3: Cross multiply
    9,331.96x = 13,998.08 × 2,312
  4. Step 4: Simplify right side
    9,331.96x = 32,363,560.96
  5. Step 5: Solve for x
    x = 32,363,560.96/9,331.96
  6. Step 6: Final answer
    x = 3,468.03

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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.