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Finding the Fourth Proportional to 9,662.52, 14,496.03 and 3,088.20

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Solution

The fourth proportional to 9,662.52, 14,496.03 and 3,088.20 is: 4,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.52 : 14,496.03 = 3,088.20 : x
  2. Step 2: Convert to fraction form
    9,662.52/14,496.03 = 3,088.20/x
  3. Step 3: Cross multiply
    9,662.52x = 14,496.03 × 3,088.20
  4. Step 4: Simplify right side
    9,662.52x = 44,766,639.85
  5. Step 5: Solve for x
    x = 44,766,639.85/9,662.52
  6. Step 6: Final answer
    x = 4,633.02

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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.