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Finding the Fourth Proportional to 9,905.32, 14,865.24 and 7,980.76

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Solution

The fourth proportional to 9,905.32, 14,865.24 and 7,980.76 is: 11,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.32 : 14,865.24 = 7,980.76 : x
  2. Step 2: Convert to fraction form
    9,905.32/14,865.24 = 7,980.76/x
  3. Step 3: Cross multiply
    9,905.32x = 14,865.24 × 7,980.76
  4. Step 4: Simplify right side
    9,905.32x = 118,635,912.78
  5. Step 5: Solve for x
    x = 118,635,912.78/9,905.32
  6. Step 6: Final answer
    x = 11,976.99

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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.