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Finding the Fourth Proportional to 9,698.72, 14,548.83 and 3,125.11

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Solution

The fourth proportional to 9,698.72, 14,548.83 and 3,125.11 is: 4,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.72 : 14,548.83 = 3,125.11 : x
  2. Step 2: Convert to fraction form
    9,698.72/14,548.83 = 3,125.11/x
  3. Step 3: Cross multiply
    9,698.72x = 14,548.83 × 3,125.11
  4. Step 4: Simplify right side
    9,698.72x = 45,466,694.12
  5. Step 5: Solve for x
    x = 45,466,694.12/9,698.72
  6. Step 6: Final answer
    x = 4,687.91

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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.