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Finding the Fourth Proportional to 6,348.03, 9,511.27 and 4,490.06

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Solution

The fourth proportional to 6,348.03, 9,511.27 and 4,490.06 is: 6,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.03 : 9,511.27 = 4,490.06 : x
  2. Step 2: Convert to fraction form
    6,348.03/9,511.27 = 4,490.06/x
  3. Step 3: Cross multiply
    6,348.03x = 9,511.27 × 4,490.06
  4. Step 4: Simplify right side
    6,348.03x = 42,706,172.98
  5. Step 5: Solve for x
    x = 42,706,172.98/6,348.03
  6. Step 6: Final answer
    x = 6,727.47

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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.