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Finding the Fourth Proportional to 9,807.88, 14,715.60 and 3,233.92

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Solution

The fourth proportional to 9,807.88, 14,715.60 and 3,233.92 is: 4,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.88 : 14,715.60 = 3,233.92 : x
  2. Step 2: Convert to fraction form
    9,807.88/14,715.60 = 3,233.92/x
  3. Step 3: Cross multiply
    9,807.88x = 14,715.60 × 3,233.92
  4. Step 4: Simplify right side
    9,807.88x = 47,589,073.15
  5. Step 5: Solve for x
    x = 47,589,073.15/9,807.88
  6. Step 6: Final answer
    x = 4,852.13

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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.