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Finding the Fourth Proportional to 6,558.21, 9,046.71 and 4,196.25

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Solution

The fourth proportional to 6,558.21, 9,046.71 and 4,196.25 is: 5,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.21 : 9,046.71 = 4,196.25 : x
  2. Step 2: Convert to fraction form
    6,558.21/9,046.71 = 4,196.25/x
  3. Step 3: Cross multiply
    6,558.21x = 9,046.71 × 4,196.25
  4. Step 4: Simplify right side
    6,558.21x = 37,962,256.84
  5. Step 5: Solve for x
    x = 37,962,256.84/6,558.21
  6. Step 6: Final answer
    x = 5,788.51

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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.