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Finding the Fourth Proportional to 9,960.64, 14,932.32 and 5,848

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Solution

The fourth proportional to 9,960.64, 14,932.32 and 5,848 is: 8,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.64 : 14,932.32 = 5,848 : x
  2. Step 2: Convert to fraction form
    9,960.64/14,932.32 = 5,848/x
  3. Step 3: Cross multiply
    9,960.64x = 14,932.32 × 5,848
  4. Step 4: Simplify right side
    9,960.64x = 87,324,207.36
  5. Step 5: Solve for x
    x = 87,324,207.36/9,960.64
  6. Step 6: Final answer
    x = 8,766.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.