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Finding the Fourth Proportional to 9,601.60, 14,401.20 and 2,582.14

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Solution

The fourth proportional to 9,601.60, 14,401.20 and 2,582.14 is: 3,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.60 : 14,401.20 = 2,582.14 : x
  2. Step 2: Convert to fraction form
    9,601.60/14,401.20 = 2,582.14/x
  3. Step 3: Cross multiply
    9,601.60x = 14,401.20 × 2,582.14
  4. Step 4: Simplify right side
    9,601.60x = 37,185,914.57
  5. Step 5: Solve for x
    x = 37,185,914.57/9,601.60
  6. Step 6: Final answer
    x = 3,872.89

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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.