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Finding the Fourth Proportional to 9,191.94, 13,787.95 and 3,348.55

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Solution

The fourth proportional to 9,191.94, 13,787.95 and 3,348.55 is: 5,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.94 : 13,787.95 = 3,348.55 : x
  2. Step 2: Convert to fraction form
    9,191.94/13,787.95 = 3,348.55/x
  3. Step 3: Cross multiply
    9,191.94x = 13,787.95 × 3,348.55
  4. Step 4: Simplify right side
    9,191.94x = 46,169,639.97
  5. Step 5: Solve for x
    x = 46,169,639.97/9,191.94
  6. Step 6: Final answer
    x = 5,022.84

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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.