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Finding the Fourth Proportional to 9,317.88, 13,979.84 and 2,744.10

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Solution

The fourth proportional to 9,317.88, 13,979.84 and 2,744.10 is: 4,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.88 : 13,979.84 = 2,744.10 : x
  2. Step 2: Convert to fraction form
    9,317.88/13,979.84 = 2,744.10/x
  3. Step 3: Cross multiply
    9,317.88x = 13,979.84 × 2,744.10
  4. Step 4: Simplify right side
    9,317.88x = 38,362,065.22
  5. Step 5: Solve for x
    x = 38,362,065.22/9,317.88
  6. Step 6: Final answer
    x = 4,117.04

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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.