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Finding the Fourth Proportional to 9,697.80, 14,542.09 and 4,431.25

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Solution

The fourth proportional to 9,697.80, 14,542.09 and 4,431.25 is: 6,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.80 : 14,542.09 = 4,431.25 : x
  2. Step 2: Convert to fraction form
    9,697.80/14,542.09 = 4,431.25/x
  3. Step 3: Cross multiply
    9,697.80x = 14,542.09 × 4,431.25
  4. Step 4: Simplify right side
    9,697.80x = 64,439,636.31
  5. Step 5: Solve for x
    x = 64,439,636.31/9,697.80
  6. Step 6: Final answer
    x = 6,644.77

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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.