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Finding the Fourth Proportional to 9,647.25, 14,472.61 and 3,410.88

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Solution

The fourth proportional to 9,647.25, 14,472.61 and 3,410.88 is: 5,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.25 : 14,472.61 = 3,410.88 : x
  2. Step 2: Convert to fraction form
    9,647.25/14,472.61 = 3,410.88/x
  3. Step 3: Cross multiply
    9,647.25x = 14,472.61 × 3,410.88
  4. Step 4: Simplify right side
    9,647.25x = 49,364,409.70
  5. Step 5: Solve for x
    x = 49,364,409.70/9,647.25
  6. Step 6: Final answer
    x = 5,116.94

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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.