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Finding the Fourth Proportional to 6,852.98, 9,461.58 and 4,201.85

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Solution

The fourth proportional to 6,852.98, 9,461.58 and 4,201.85 is: 5,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.98 : 9,461.58 = 4,201.85 : x
  2. Step 2: Convert to fraction form
    6,852.98/9,461.58 = 4,201.85/x
  3. Step 3: Cross multiply
    6,852.98x = 9,461.58 × 4,201.85
  4. Step 4: Simplify right side
    6,852.98x = 39,756,139.92
  5. Step 5: Solve for x
    x = 39,756,139.92/6,852.98
  6. Step 6: Final answer
    x = 5,801.29

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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.