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Finding the Fourth Proportional to 9,599.75, 14,400.45 and 2,674.25

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Solution

The fourth proportional to 9,599.75, 14,400.45 and 2,674.25 is: 4,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.75 : 14,400.45 = 2,674.25 : x
  2. Step 2: Convert to fraction form
    9,599.75/14,400.45 = 2,674.25/x
  3. Step 3: Cross multiply
    9,599.75x = 14,400.45 × 2,674.25
  4. Step 4: Simplify right side
    9,599.75x = 38,510,403.41
  5. Step 5: Solve for x
    x = 38,510,403.41/9,599.75
  6. Step 6: Final answer
    x = 4,011.60

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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.