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Finding the Fourth Proportional to 9,689.79, 13,372.35 and 5,711.07

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Solution

The fourth proportional to 9,689.79, 13,372.35 and 5,711.07 is: 7,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.79 : 13,372.35 = 5,711.07 : x
  2. Step 2: Convert to fraction form
    9,689.79/13,372.35 = 5,711.07/x
  3. Step 3: Cross multiply
    9,689.79x = 13,372.35 × 5,711.07
  4. Step 4: Simplify right side
    9,689.79x = 76,370,426.91
  5. Step 5: Solve for x
    x = 76,370,426.91/9,689.79
  6. Step 6: Final answer
    x = 7,881.54

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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.