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Finding the Fourth Proportional to 7,086.69, 9,779.63 and 3,942.88

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Solution

The fourth proportional to 7,086.69, 9,779.63 and 3,942.88 is: 5,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.69 : 9,779.63 = 3,942.88 : x
  2. Step 2: Convert to fraction form
    7,086.69/9,779.63 = 3,942.88/x
  3. Step 3: Cross multiply
    7,086.69x = 9,779.63 × 3,942.88
  4. Step 4: Simplify right side
    7,086.69x = 38,559,907.53
  5. Step 5: Solve for x
    x = 38,559,907.53/7,086.69
  6. Step 6: Final answer
    x = 5,441.17

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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.