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Finding the Fourth Proportional to 6,522.47, 9,776.17 and 3,005.12

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Solution

The fourth proportional to 6,522.47, 9,776.17 and 3,005.12 is: 4,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.47 : 9,776.17 = 3,005.12 : x
  2. Step 2: Convert to fraction form
    6,522.47/9,776.17 = 3,005.12/x
  3. Step 3: Cross multiply
    6,522.47x = 9,776.17 × 3,005.12
  4. Step 4: Simplify right side
    6,522.47x = 29,378,592.19
  5. Step 5: Solve for x
    x = 29,378,592.19/6,522.47
  6. Step 6: Final answer
    x = 4,504.21

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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.