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Finding the Fourth Proportional to 9,652.70, 14,474.41 and 4,103.04

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Solution

The fourth proportional to 9,652.70, 14,474.41 and 4,103.04 is: 6,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.70 : 14,474.41 = 4,103.04 : x
  2. Step 2: Convert to fraction form
    9,652.70/14,474.41 = 4,103.04/x
  3. Step 3: Cross multiply
    9,652.70x = 14,474.41 × 4,103.04
  4. Step 4: Simplify right side
    9,652.70x = 59,389,010.83
  5. Step 5: Solve for x
    x = 59,389,010.83/9,652.70
  6. Step 6: Final answer
    x = 6,152.58

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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.