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Finding the Fourth Proportional to 7,086.81, 9,779.55 and 3,900.09

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Solution

The fourth proportional to 7,086.81, 9,779.55 and 3,900.09 is: 5,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.81 : 9,779.55 = 3,900.09 : x
  2. Step 2: Convert to fraction form
    7,086.81/9,779.55 = 3,900.09/x
  3. Step 3: Cross multiply
    7,086.81x = 9,779.55 × 3,900.09
  4. Step 4: Simplify right side
    7,086.81x = 38,141,125.16
  5. Step 5: Solve for x
    x = 38,141,125.16/7,086.81
  6. Step 6: Final answer
    x = 5,381.99

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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.