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Finding the Fourth Proportional to 6,280.53, 9,417.75 and 4,202.88

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Solution

The fourth proportional to 6,280.53, 9,417.75 and 4,202.88 is: 6,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.53 : 9,417.75 = 4,202.88 : x
  2. Step 2: Convert to fraction form
    6,280.53/9,417.75 = 4,202.88/x
  3. Step 3: Cross multiply
    6,280.53x = 9,417.75 × 4,202.88
  4. Step 4: Simplify right side
    6,280.53x = 39,581,673.12
  5. Step 5: Solve for x
    x = 39,581,673.12/6,280.53
  6. Step 6: Final answer
    x = 6,302.28

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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.