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Finding the Fourth Proportional to 6,318.84, 9,478.49 and 2,369.70

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Solution

The fourth proportional to 6,318.84, 9,478.49 and 2,369.70 is: 3,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.84 : 9,478.49 = 2,369.70 : x
  2. Step 2: Convert to fraction form
    6,318.84/9,478.49 = 2,369.70/x
  3. Step 3: Cross multiply
    6,318.84x = 9,478.49 × 2,369.70
  4. Step 4: Simplify right side
    6,318.84x = 22,461,185.90
  5. Step 5: Solve for x
    x = 22,461,185.90/6,318.84
  6. Step 6: Final answer
    x = 3,554.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.