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Finding the Fourth Proportional to 9,682.89, 14,526.39 and 3,113.69

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Solution

The fourth proportional to 9,682.89, 14,526.39 and 3,113.69 is: 4,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.89 : 14,526.39 = 3,113.69 : x
  2. Step 2: Convert to fraction form
    9,682.89/14,526.39 = 3,113.69/x
  3. Step 3: Cross multiply
    9,682.89x = 14,526.39 × 3,113.69
  4. Step 4: Simplify right side
    9,682.89x = 45,230,614.32
  5. Step 5: Solve for x
    x = 45,230,614.32/9,682.89
  6. Step 6: Final answer
    x = 4,671.19

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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.