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Finding the Fourth Proportional to 6,323.57, 9,477.67 and 4,475.23

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Solution

The fourth proportional to 6,323.57, 9,477.67 and 4,475.23 is: 6,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.57 : 9,477.67 = 4,475.23 : x
  2. Step 2: Convert to fraction form
    6,323.57/9,477.67 = 4,475.23/x
  3. Step 3: Cross multiply
    6,323.57x = 9,477.67 × 4,475.23
  4. Step 4: Simplify right side
    6,323.57x = 42,414,753.11
  5. Step 5: Solve for x
    x = 42,414,753.11/6,323.57
  6. Step 6: Final answer
    x = 6,707.41

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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.