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Finding the Fourth Proportional to 6,369.90, 9,554.84 and 4,178.12

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Solution

The fourth proportional to 6,369.90, 9,554.84 and 4,178.12 is: 6,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.90 : 9,554.84 = 4,178.12 : x
  2. Step 2: Convert to fraction form
    6,369.90/9,554.84 = 4,178.12/x
  3. Step 3: Cross multiply
    6,369.90x = 9,554.84 × 4,178.12
  4. Step 4: Simplify right side
    6,369.90x = 39,921,230.77
  5. Step 5: Solve for x
    x = 39,921,230.77/6,369.90
  6. Step 6: Final answer
    x = 6,267.17

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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.