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Finding the Fourth Proportional to 6,578.21, 9,077.13 and 3,925.13

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Solution

The fourth proportional to 6,578.21, 9,077.13 and 3,925.13 is: 5,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.21 : 9,077.13 = 3,925.13 : x
  2. Step 2: Convert to fraction form
    6,578.21/9,077.13 = 3,925.13/x
  3. Step 3: Cross multiply
    6,578.21x = 9,077.13 × 3,925.13
  4. Step 4: Simplify right side
    6,578.21x = 35,628,869.89
  5. Step 5: Solve for x
    x = 35,628,869.89/6,578.21
  6. Step 6: Final answer
    x = 5,416.19

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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.