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Finding the Fourth Proportional to 6,336.28, 9,506.32 and 4,490.94

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Solution

The fourth proportional to 6,336.28, 9,506.32 and 4,490.94 is: 6,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.28 : 9,506.32 = 4,490.94 : x
  2. Step 2: Convert to fraction form
    6,336.28/9,506.32 = 4,490.94/x
  3. Step 3: Cross multiply
    6,336.28x = 9,506.32 × 4,490.94
  4. Step 4: Simplify right side
    6,336.28x = 42,692,312.74
  5. Step 5: Solve for x
    x = 42,692,312.74/6,336.28
  6. Step 6: Final answer
    x = 6,737.76

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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.