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Finding the Fourth Proportional to 9,525.30, 14,277.72 and 3,974.46

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Solution

The fourth proportional to 9,525.30, 14,277.72 and 3,974.46 is: 5,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.30 : 14,277.72 = 3,974.46 : x
  2. Step 2: Convert to fraction form
    9,525.30/14,277.72 = 3,974.46/x
  3. Step 3: Cross multiply
    9,525.30x = 14,277.72 × 3,974.46
  4. Step 4: Simplify right side
    9,525.30x = 56,746,227.03
  5. Step 5: Solve for x
    x = 56,746,227.03/9,525.30
  6. Step 6: Final answer
    x = 5,957.42

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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.