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Finding the Fourth Proportional to 6,355.08, 9,530.82 and 4,011.57

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Solution

The fourth proportional to 6,355.08, 9,530.82 and 4,011.57 is: 6,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.08 : 9,530.82 = 4,011.57 : x
  2. Step 2: Convert to fraction form
    6,355.08/9,530.82 = 4,011.57/x
  3. Step 3: Cross multiply
    6,355.08x = 9,530.82 × 4,011.57
  4. Step 4: Simplify right side
    6,355.08x = 38,233,551.59
  5. Step 5: Solve for x
    x = 38,233,551.59/6,355.08
  6. Step 6: Final answer
    x = 6,016.22

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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.