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Finding the Fourth Proportional to 9,679.46, 14,518.10 and 2,660.00

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Solution

The fourth proportional to 9,679.46, 14,518.10 and 2,660.00 is: 3,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.46 : 14,518.10 = 2,660.00 : x
  2. Step 2: Convert to fraction form
    9,679.46/14,518.10 = 2,660.00/x
  3. Step 3: Cross multiply
    9,679.46x = 14,518.10 × 2,660.00
  4. Step 4: Simplify right side
    9,679.46x = 38,618,080.06
  5. Step 5: Solve for x
    x = 38,618,080.06/9,679.46
  6. Step 6: Final answer
    x = 3,989.70

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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.