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Finding the Fourth Proportional to 6,306.80, 8,683.81 and 5,409.32

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Solution

The fourth proportional to 6,306.80, 8,683.81 and 5,409.32 is: 7,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.80 : 8,683.81 = 5,409.32 : x
  2. Step 2: Convert to fraction form
    6,306.80/8,683.81 = 5,409.32/x
  3. Step 3: Cross multiply
    6,306.80x = 8,683.81 × 5,409.32
  4. Step 4: Simplify right side
    6,306.80x = 46,973,450.17
  5. Step 5: Solve for x
    x = 46,973,450.17/6,306.80
  6. Step 6: Final answer
    x = 7,448.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.