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Finding the Fourth Proportional to 6,281.30, 9,407.52 and 3,642.27

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Solution

The fourth proportional to 6,281.30, 9,407.52 and 3,642.27 is: 5,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.30 : 9,407.52 = 3,642.27 : x
  2. Step 2: Convert to fraction form
    6,281.30/9,407.52 = 3,642.27/x
  3. Step 3: Cross multiply
    6,281.30x = 9,407.52 × 3,642.27
  4. Step 4: Simplify right side
    6,281.30x = 34,264,682.35
  5. Step 5: Solve for x
    x = 34,264,682.35/6,281.30
  6. Step 6: Final answer
    x = 5,455.03

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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.