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Finding the Fourth Proportional to 6,421.74, 9,631.92 and 4,355.01

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Solution

The fourth proportional to 6,421.74, 9,631.92 and 4,355.01 is: 6,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.74 : 9,631.92 = 4,355.01 : x
  2. Step 2: Convert to fraction form
    6,421.74/9,631.92 = 4,355.01/x
  3. Step 3: Cross multiply
    6,421.74x = 9,631.92 × 4,355.01
  4. Step 4: Simplify right side
    6,421.74x = 41,947,107.92
  5. Step 5: Solve for x
    x = 41,947,107.92/6,421.74
  6. Step 6: Final answer
    x = 6,532.05

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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.