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Finding the Fourth Proportional to 9,683.10, 14,524.65 and 9,035.10

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Solution

The fourth proportional to 9,683.10, 14,524.65 and 9,035.10 is: 13,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.10 : 14,524.65 = 9,035.10 : x
  2. Step 2: Convert to fraction form
    9,683.10/14,524.65 = 9,035.10/x
  3. Step 3: Cross multiply
    9,683.10x = 14,524.65 × 9,035.10
  4. Step 4: Simplify right side
    9,683.10x = 131,231,665.22
  5. Step 5: Solve for x
    x = 131,231,665.22/9,683.10
  6. Step 6: Final answer
    x = 13,552.65

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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.