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Finding the Fourth Proportional to 9,680.77, 14,521.32 and 2,660.74

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Solution

The fourth proportional to 9,680.77, 14,521.32 and 2,660.74 is: 3,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.77 : 14,521.32 = 2,660.74 : x
  2. Step 2: Convert to fraction form
    9,680.77/14,521.32 = 2,660.74/x
  3. Step 3: Cross multiply
    9,680.77x = 14,521.32 × 2,660.74
  4. Step 4: Simplify right side
    9,680.77x = 38,637,465.15
  5. Step 5: Solve for x
    x = 38,637,465.15/9,680.77
  6. Step 6: Final answer
    x = 3,991.16

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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.