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Finding the Fourth Proportional to 9,525.57, 14,288.46 and 2,600.07

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Solution

The fourth proportional to 9,525.57, 14,288.46 and 2,600.07 is: 3,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.57 : 14,288.46 = 2,600.07 : x
  2. Step 2: Convert to fraction form
    9,525.57/14,288.46 = 2,600.07/x
  3. Step 3: Cross multiply
    9,525.57x = 14,288.46 × 2,600.07
  4. Step 4: Simplify right side
    9,525.57x = 37,150,996.19
  5. Step 5: Solve for x
    x = 37,150,996.19/9,525.57
  6. Step 6: Final answer
    x = 3,900.13

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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.