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Finding the Fourth Proportional to 9,313.95, 13,971.09 and 2,293.98

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Solution

The fourth proportional to 9,313.95, 13,971.09 and 2,293.98 is: 3,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.95 : 13,971.09 = 2,293.98 : x
  2. Step 2: Convert to fraction form
    9,313.95/13,971.09 = 2,293.98/x
  3. Step 3: Cross multiply
    9,313.95x = 13,971.09 × 2,293.98
  4. Step 4: Simplify right side
    9,313.95x = 32,049,401.04
  5. Step 5: Solve for x
    x = 32,049,401.04/9,313.95
  6. Step 6: Final answer
    x = 3,441.01

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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.