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Finding the Fourth Proportional to 6,354.57, 9,529.52 and 2,193.51

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Solution

The fourth proportional to 6,354.57, 9,529.52 and 2,193.51 is: 3,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.57 : 9,529.52 = 2,193.51 : x
  2. Step 2: Convert to fraction form
    6,354.57/9,529.52 = 2,193.51/x
  3. Step 3: Cross multiply
    6,354.57x = 9,529.52 × 2,193.51
  4. Step 4: Simplify right side
    6,354.57x = 20,903,134.52
  5. Step 5: Solve for x
    x = 20,903,134.52/6,354.57
  6. Step 6: Final answer
    x = 3,289.46

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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.