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Finding the Fourth Proportional to 6,107.84, 8,423.61 and 4,694.95

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Solution

The fourth proportional to 6,107.84, 8,423.61 and 4,694.95 is: 6,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.84 : 8,423.61 = 4,694.95 : x
  2. Step 2: Convert to fraction form
    6,107.84/8,423.61 = 4,694.95/x
  3. Step 3: Cross multiply
    6,107.84x = 8,423.61 × 4,694.95
  4. Step 4: Simplify right side
    6,107.84x = 39,548,427.77
  5. Step 5: Solve for x
    x = 39,548,427.77/6,107.84
  6. Step 6: Final answer
    x = 6,475.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.