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Finding the Fourth Proportional to 6,548.33, 8,977.77 and 6,429.87

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Solution

The fourth proportional to 6,548.33, 8,977.77 and 6,429.87 is: 8,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.33 : 8,977.77 = 6,429.87 : x
  2. Step 2: Convert to fraction form
    6,548.33/8,977.77 = 6,429.87/x
  3. Step 3: Cross multiply
    6,548.33x = 8,977.77 × 6,429.87
  4. Step 4: Simplify right side
    6,548.33x = 57,725,893.99
  5. Step 5: Solve for x
    x = 57,725,893.99/6,548.33
  6. Step 6: Final answer
    x = 8,815.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.