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Finding the Fourth Proportional to 9,662.26, 14,494.17 and 3,088.45

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Solution

The fourth proportional to 9,662.26, 14,494.17 and 3,088.45 is: 4,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.26 : 14,494.17 = 3,088.45 : x
  2. Step 2: Convert to fraction form
    9,662.26/14,494.17 = 3,088.45/x
  3. Step 3: Cross multiply
    9,662.26x = 14,494.17 × 3,088.45
  4. Step 4: Simplify right side
    9,662.26x = 44,764,563.74
  5. Step 5: Solve for x
    x = 44,764,563.74/9,662.26
  6. Step 6: Final answer
    x = 4,632.93

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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.