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Finding the Fourth Proportional to 9,314.84, 13,978.53 and 3,471.45

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Solution

The fourth proportional to 9,314.84, 13,978.53 and 3,471.45 is: 5,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.84 : 13,978.53 = 3,471.45 : x
  2. Step 2: Convert to fraction form
    9,314.84/13,978.53 = 3,471.45/x
  3. Step 3: Cross multiply
    9,314.84x = 13,978.53 × 3,471.45
  4. Step 4: Simplify right side
    9,314.84x = 48,525,767.97
  5. Step 5: Solve for x
    x = 48,525,767.97/9,314.84
  6. Step 6: Final answer
    x = 5,209.51

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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.