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Finding the Fourth Proportional to 6,438.06, 9,602.96 and 5,847.48

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Solution

The fourth proportional to 6,438.06, 9,602.96 and 5,847.48 is: 8,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.06 : 9,602.96 = 5,847.48 : x
  2. Step 2: Convert to fraction form
    6,438.06/9,602.96 = 5,847.48/x
  3. Step 3: Cross multiply
    6,438.06x = 9,602.96 × 5,847.48
  4. Step 4: Simplify right side
    6,438.06x = 56,153,116.54
  5. Step 5: Solve for x
    x = 56,153,116.54/6,438.06
  6. Step 6: Final answer
    x = 8,722.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.