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Finding the Fourth Proportional to 9,759.31, 14,647.16 and 4,216.88

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Solution

The fourth proportional to 9,759.31, 14,647.16 and 4,216.88 is: 6,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.31 : 14,647.16 = 4,216.88 : x
  2. Step 2: Convert to fraction form
    9,759.31/14,647.16 = 4,216.88/x
  3. Step 3: Cross multiply
    9,759.31x = 14,647.16 × 4,216.88
  4. Step 4: Simplify right side
    9,759.31x = 61,765,363.22
  5. Step 5: Solve for x
    x = 61,765,363.22/9,759.31
  6. Step 6: Final answer
    x = 6,328.87

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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.