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Finding the Fourth Proportional to 6,505.14, 9,763.19 and 2,810.17

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Solution

The fourth proportional to 6,505.14, 9,763.19 and 2,810.17 is: 4,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.14 : 9,763.19 = 2,810.17 : x
  2. Step 2: Convert to fraction form
    6,505.14/9,763.19 = 2,810.17/x
  3. Step 3: Cross multiply
    6,505.14x = 9,763.19 × 2,810.17
  4. Step 4: Simplify right side
    6,505.14x = 27,436,223.64
  5. Step 5: Solve for x
    x = 27,436,223.64/6,505.14
  6. Step 6: Final answer
    x = 4,217.62

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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.