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Finding the Fourth Proportional to 9,660.81, 14,494.86 and 3,420.57

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Solution

The fourth proportional to 9,660.81, 14,494.86 and 3,420.57 is: 5,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.81 : 14,494.86 = 3,420.57 : x
  2. Step 2: Convert to fraction form
    9,660.81/14,494.86 = 3,420.57/x
  3. Step 3: Cross multiply
    9,660.81x = 14,494.86 × 3,420.57
  4. Step 4: Simplify right side
    9,660.81x = 49,580,683.27
  5. Step 5: Solve for x
    x = 49,580,683.27/9,660.81
  6. Step 6: Final answer
    x = 5,132.15

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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.