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Finding the Fourth Proportional to 9,525.84, 14,288.52 and 2,600.40

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Solution

The fourth proportional to 9,525.84, 14,288.52 and 2,600.40 is: 3,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.84 : 14,288.52 = 2,600.40 : x
  2. Step 2: Convert to fraction form
    9,525.84/14,288.52 = 2,600.40/x
  3. Step 3: Cross multiply
    9,525.84x = 14,288.52 × 2,600.40
  4. Step 4: Simplify right side
    9,525.84x = 37,155,867.41
  5. Step 5: Solve for x
    x = 37,155,867.41/9,525.84
  6. Step 6: Final answer
    x = 3,900.53

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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.