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Finding the Fourth Proportional to 6,516.28, 9,774.42 and 2,356.84

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Solution

The fourth proportional to 6,516.28, 9,774.42 and 2,356.84 is: 3,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.28 : 9,774.42 = 2,356.84 : x
  2. Step 2: Convert to fraction form
    6,516.28/9,774.42 = 2,356.84/x
  3. Step 3: Cross multiply
    6,516.28x = 9,774.42 × 2,356.84
  4. Step 4: Simplify right side
    6,516.28x = 23,036,744.03
  5. Step 5: Solve for x
    x = 23,036,744.03/6,516.28
  6. Step 6: Final answer
    x = 3,535.26

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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.