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Finding the Fourth Proportional to 9,878.69, 13,629.96 and 6,052.37

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Solution

The fourth proportional to 9,878.69, 13,629.96 and 6,052.37 is: 8,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.69 : 13,629.96 = 6,052.37 : x
  2. Step 2: Convert to fraction form
    9,878.69/13,629.96 = 6,052.37/x
  3. Step 3: Cross multiply
    9,878.69x = 13,629.96 × 6,052.37
  4. Step 4: Simplify right side
    9,878.69x = 82,493,492.86
  5. Step 5: Solve for x
    x = 82,493,492.86/9,878.69
  6. Step 6: Final answer
    x = 8,350.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.