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Finding the Fourth Proportional to 9,524.92, 14,275.50 and 7,341.88

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Solution

The fourth proportional to 9,524.92, 14,275.50 and 7,341.88 is: 11,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.92 : 14,275.50 = 7,341.88 : x
  2. Step 2: Convert to fraction form
    9,524.92/14,275.50 = 7,341.88/x
  3. Step 3: Cross multiply
    9,524.92x = 14,275.50 × 7,341.88
  4. Step 4: Simplify right side
    9,524.92x = 104,809,007.94
  5. Step 5: Solve for x
    x = 104,809,007.94/9,524.92
  6. Step 6: Final answer
    x = 11,003.66

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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.