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Finding the Fourth Proportional to 9,204.55, 13,803.98 and 4,819.61

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Solution

The fourth proportional to 9,204.55, 13,803.98 and 4,819.61 is: 7,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.55 : 13,803.98 = 4,819.61 : x
  2. Step 2: Convert to fraction form
    9,204.55/13,803.98 = 4,819.61/x
  3. Step 3: Cross multiply
    9,204.55x = 13,803.98 × 4,819.61
  4. Step 4: Simplify right side
    9,204.55x = 66,529,810.46
  5. Step 5: Solve for x
    x = 66,529,810.46/9,204.55
  6. Step 6: Final answer
    x = 7,227.93

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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.