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Finding the Fourth Proportional to 6,488.45, 9,735.56 and 3,155.21

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Solution

The fourth proportional to 6,488.45, 9,735.56 and 3,155.21 is: 4,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.45 : 9,735.56 = 3,155.21 : x
  2. Step 2: Convert to fraction form
    6,488.45/9,735.56 = 3,155.21/x
  3. Step 3: Cross multiply
    6,488.45x = 9,735.56 × 3,155.21
  4. Step 4: Simplify right side
    6,488.45x = 30,717,671.81
  5. Step 5: Solve for x
    x = 30,717,671.81/6,488.45
  6. Step 6: Final answer
    x = 4,734.21

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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.