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Finding the Fourth Proportional to 9,563.88, 14,345.42 and 3,325.31

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Solution

The fourth proportional to 9,563.88, 14,345.42 and 3,325.31 is: 4,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.88 : 14,345.42 = 3,325.31 : x
  2. Step 2: Convert to fraction form
    9,563.88/14,345.42 = 3,325.31/x
  3. Step 3: Cross multiply
    9,563.88x = 14,345.42 × 3,325.31
  4. Step 4: Simplify right side
    9,563.88x = 47,702,896.85
  5. Step 5: Solve for x
    x = 47,702,896.85/9,563.88
  6. Step 6: Final answer
    x = 4,987.82

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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.