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Finding the Fourth Proportional to 9,585.76, 14,376.48 and 2,660.80

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Solution

The fourth proportional to 9,585.76, 14,376.48 and 2,660.80 is: 3,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.76 : 14,376.48 = 2,660.80 : x
  2. Step 2: Convert to fraction form
    9,585.76/14,376.48 = 2,660.80/x
  3. Step 3: Cross multiply
    9,585.76x = 14,376.48 × 2,660.80
  4. Step 4: Simplify right side
    9,585.76x = 38,252,937.98
  5. Step 5: Solve for x
    x = 38,252,937.98/9,585.76
  6. Step 6: Final answer
    x = 3,990.60

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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.