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Finding the Fourth Proportional to 6,201.57, 9,302.37 and 1,521.59

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Solution

The fourth proportional to 6,201.57, 9,302.37 and 1,521.59 is: 2,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.57 : 9,302.37 = 1,521.59 : x
  2. Step 2: Convert to fraction form
    6,201.57/9,302.37 = 1,521.59/x
  3. Step 3: Cross multiply
    6,201.57x = 9,302.37 × 1,521.59
  4. Step 4: Simplify right side
    6,201.57x = 14,154,385.56
  5. Step 5: Solve for x
    x = 14,154,385.56/6,201.57
  6. Step 6: Final answer
    x = 2,282.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.