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Finding the Fourth Proportional to 9,683.56, 14,512.38 and 5,526.28

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Solution

The fourth proportional to 9,683.56, 14,512.38 and 5,526.28 is: 8,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.56 : 14,512.38 = 5,526.28 : x
  2. Step 2: Convert to fraction form
    9,683.56/14,512.38 = 5,526.28/x
  3. Step 3: Cross multiply
    9,683.56x = 14,512.38 × 5,526.28
  4. Step 4: Simplify right side
    9,683.56x = 80,199,475.35
  5. Step 5: Solve for x
    x = 80,199,475.35/9,683.56
  6. Step 6: Final answer
    x = 8,282.02

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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.