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Finding the Fourth Proportional to 6,355.41, 9,529.62 and 5,047.54

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Solution

The fourth proportional to 6,355.41, 9,529.62 and 5,047.54 is: 7,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.41 : 9,529.62 = 5,047.54 : x
  2. Step 2: Convert to fraction form
    6,355.41/9,529.62 = 5,047.54/x
  3. Step 3: Cross multiply
    6,355.41x = 9,529.62 × 5,047.54
  4. Step 4: Simplify right side
    6,355.41x = 48,101,065.25
  5. Step 5: Solve for x
    x = 48,101,065.25/6,355.41
  6. Step 6: Final answer
    x = 7,568.53

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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.