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Finding the Fourth Proportional to 9,683.64, 14,497.38 and 8,202.96

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Solution

The fourth proportional to 9,683.64, 14,497.38 and 8,202.96 is: 12,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.64 : 14,497.38 = 8,202.96 : x
  2. Step 2: Convert to fraction form
    9,683.64/14,497.38 = 8,202.96/x
  3. Step 3: Cross multiply
    9,683.64x = 14,497.38 × 8,202.96
  4. Step 4: Simplify right side
    9,683.64x = 118,921,428.24
  5. Step 5: Solve for x
    x = 118,921,428.24/9,683.64
  6. Step 6: Final answer
    x = 12,280.65

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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.