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Finding the Fourth Proportional to 6,740.69, 9,234.79 and 6,488.17

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Solution

The fourth proportional to 6,740.69, 9,234.79 and 6,488.17 is: 8,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.69 : 9,234.79 = 6,488.17 : x
  2. Step 2: Convert to fraction form
    6,740.69/9,234.79 = 6,488.17/x
  3. Step 3: Cross multiply
    6,740.69x = 9,234.79 × 6,488.17
  4. Step 4: Simplify right side
    6,740.69x = 59,916,900.07
  5. Step 5: Solve for x
    x = 59,916,900.07/6,740.69
  6. Step 6: Final answer
    x = 8,888.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.