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Finding the Fourth Proportional to 9,583.12, 13,222.05 and 5,753.76

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Solution

The fourth proportional to 9,583.12, 13,222.05 and 5,753.76 is: 7,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.12 : 13,222.05 = 5,753.76 : x
  2. Step 2: Convert to fraction form
    9,583.12/13,222.05 = 5,753.76/x
  3. Step 3: Cross multiply
    9,583.12x = 13,222.05 × 5,753.76
  4. Step 4: Simplify right side
    9,583.12x = 76,076,480.83
  5. Step 5: Solve for x
    x = 76,076,480.83/9,583.12
  6. Step 6: Final answer
    x = 7,938.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.