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Finding the Fourth Proportional to 9,687.79, 13,369.58 and 5,709.07

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Solution

The fourth proportional to 9,687.79, 13,369.58 and 5,709.07 is: 7,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.79 : 13,369.58 = 5,709.07 : x
  2. Step 2: Convert to fraction form
    9,687.79/13,369.58 = 5,709.07/x
  3. Step 3: Cross multiply
    9,687.79x = 13,369.58 × 5,709.07
  4. Step 4: Simplify right side
    9,687.79x = 76,327,815.52
  5. Step 5: Solve for x
    x = 76,327,815.52/9,687.79
  6. Step 6: Final answer
    x = 7,878.77

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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.