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Finding the Fourth Proportional to 6,884.16, 9,500.14 and 4,089.66

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Solution

The fourth proportional to 6,884.16, 9,500.14 and 4,089.66 is: 5,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.16 : 9,500.14 = 4,089.66 : x
  2. Step 2: Convert to fraction form
    6,884.16/9,500.14 = 4,089.66/x
  3. Step 3: Cross multiply
    6,884.16x = 9,500.14 × 4,089.66
  4. Step 4: Simplify right side
    6,884.16x = 38,852,289.03
  5. Step 5: Solve for x
    x = 38,852,289.03/6,884.16
  6. Step 6: Final answer
    x = 5,643.73

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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.