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Finding the Fourth Proportional to 6,516.75, 9,773.06 and 2,356.21

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Solution

The fourth proportional to 6,516.75, 9,773.06 and 2,356.21 is: 3,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.75 : 9,773.06 = 2,356.21 : x
  2. Step 2: Convert to fraction form
    6,516.75/9,773.06 = 2,356.21/x
  3. Step 3: Cross multiply
    6,516.75x = 9,773.06 × 2,356.21
  4. Step 4: Simplify right side
    6,516.75x = 23,027,381.70
  5. Step 5: Solve for x
    x = 23,027,381.70/6,516.75
  6. Step 6: Final answer
    x = 3,533.57

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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.