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Finding the Fourth Proportional to 6,356.81, 9,533.45 and 3,542.19

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Solution

The fourth proportional to 6,356.81, 9,533.45 and 3,542.19 is: 5,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.81 : 9,533.45 = 3,542.19 : x
  2. Step 2: Convert to fraction form
    6,356.81/9,533.45 = 3,542.19/x
  3. Step 3: Cross multiply
    6,356.81x = 9,533.45 × 3,542.19
  4. Step 4: Simplify right side
    6,356.81x = 33,769,264.36
  5. Step 5: Solve for x
    x = 33,769,264.36/6,356.81
  6. Step 6: Final answer
    x = 5,312.30

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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.