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Finding the Fourth Proportional to 9,688.14, 14,535.74 and 5,986.12

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Solution

The fourth proportional to 9,688.14, 14,535.74 and 5,986.12 is: 8,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.14 : 14,535.74 = 5,986.12 : x
  2. Step 2: Convert to fraction form
    9,688.14/14,535.74 = 5,986.12/x
  3. Step 3: Cross multiply
    9,688.14x = 14,535.74 × 5,986.12
  4. Step 4: Simplify right side
    9,688.14x = 87,012,683.93
  5. Step 5: Solve for x
    x = 87,012,683.93/9,688.14
  6. Step 6: Final answer
    x = 8,981.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.