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Finding the Fourth Proportional to 9,293.84, 13,942.13 and 2,719.17

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Solution

The fourth proportional to 9,293.84, 13,942.13 and 2,719.17 is: 4,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.84 : 13,942.13 = 2,719.17 : x
  2. Step 2: Convert to fraction form
    9,293.84/13,942.13 = 2,719.17/x
  3. Step 3: Cross multiply
    9,293.84x = 13,942.13 × 2,719.17
  4. Step 4: Simplify right side
    9,293.84x = 37,911,008.04
  5. Step 5: Solve for x
    x = 37,911,008.04/9,293.84
  6. Step 6: Final answer
    x = 4,079.15

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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.