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Finding the Fourth Proportional to 6,689.18, 9,222.08 and 5,740.88

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Solution

The fourth proportional to 6,689.18, 9,222.08 and 5,740.88 is: 7,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.18 : 9,222.08 = 5,740.88 : x
  2. Step 2: Convert to fraction form
    6,689.18/9,222.08 = 5,740.88/x
  3. Step 3: Cross multiply
    6,689.18x = 9,222.08 × 5,740.88
  4. Step 4: Simplify right side
    6,689.18x = 52,942,795.96
  5. Step 5: Solve for x
    x = 52,942,795.96/6,689.18
  6. Step 6: Final answer
    x = 7,914.69

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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.