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Finding the Fourth Proportional to 6,412.16, 9,615.88 and 3,291.12

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Solution

The fourth proportional to 6,412.16, 9,615.88 and 3,291.12 is: 4,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.16 : 9,615.88 = 3,291.12 : x
  2. Step 2: Convert to fraction form
    6,412.16/9,615.88 = 3,291.12/x
  3. Step 3: Cross multiply
    6,412.16x = 9,615.88 × 3,291.12
  4. Step 4: Simplify right side
    6,412.16x = 31,647,014.99
  5. Step 5: Solve for x
    x = 31,647,014.99/6,412.16
  6. Step 6: Final answer
    x = 4,935.47

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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.