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Finding the Fourth Proportional to 9,471.56, 13,070.22 and 5,222.48

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Solution

The fourth proportional to 9,471.56, 13,070.22 and 5,222.48 is: 7,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.56 : 13,070.22 = 5,222.48 : x
  2. Step 2: Convert to fraction form
    9,471.56/13,070.22 = 5,222.48/x
  3. Step 3: Cross multiply
    9,471.56x = 13,070.22 × 5,222.48
  4. Step 4: Simplify right side
    9,471.56x = 68,258,962.55
  5. Step 5: Solve for x
    x = 68,258,962.55/9,471.56
  6. Step 6: Final answer
    x = 7,206.73

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