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Finding the Fourth Proportional to 9,522.92, 14,293.62 and 4,596.03

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Solution

The fourth proportional to 9,522.92, 14,293.62 and 4,596.03 is: 6,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.92 : 14,293.62 = 4,596.03 : x
  2. Step 2: Convert to fraction form
    9,522.92/14,293.62 = 4,596.03/x
  3. Step 3: Cross multiply
    9,522.92x = 14,293.62 × 4,596.03
  4. Step 4: Simplify right side
    9,522.92x = 65,693,811.88
  5. Step 5: Solve for x
    x = 65,693,811.88/9,522.92
  6. Step 6: Final answer
    x = 6,898.49

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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.