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Finding the Fourth Proportional to 6,336.80, 9,505.20 and 5,106.62

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Solution

The fourth proportional to 6,336.80, 9,505.20 and 5,106.62 is: 7,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.80 : 9,505.20 = 5,106.62 : x
  2. Step 2: Convert to fraction form
    6,336.80/9,505.20 = 5,106.62/x
  3. Step 3: Cross multiply
    6,336.80x = 9,505.20 × 5,106.62
  4. Step 4: Simplify right side
    6,336.80x = 48,539,444.42
  5. Step 5: Solve for x
    x = 48,539,444.42/6,336.80
  6. Step 6: Final answer
    x = 7,659.93

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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.