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Finding the Fourth Proportional to 6,265.38, 9,411.63 and 4,072.98

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Solution

The fourth proportional to 6,265.38, 9,411.63 and 4,072.98 is: 6,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.38 : 9,411.63 = 4,072.98 : x
  2. Step 2: Convert to fraction form
    6,265.38/9,411.63 = 4,072.98/x
  3. Step 3: Cross multiply
    6,265.38x = 9,411.63 × 4,072.98
  4. Step 4: Simplify right side
    6,265.38x = 38,333,380.76
  5. Step 5: Solve for x
    x = 38,333,380.76/6,265.38
  6. Step 6: Final answer
    x = 6,118.29

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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.