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Finding the Fourth Proportional to 9,471.14, 13,070.07 and 5,222.57

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Solution

The fourth proportional to 9,471.14, 13,070.07 and 5,222.57 is: 7,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.14 : 13,070.07 = 5,222.57 : x
  2. Step 2: Convert to fraction form
    9,471.14/13,070.07 = 5,222.57/x
  3. Step 3: Cross multiply
    9,471.14x = 13,070.07 × 5,222.57
  4. Step 4: Simplify right side
    9,471.14x = 68,259,426.13
  5. Step 5: Solve for x
    x = 68,259,426.13/9,471.14
  6. Step 6: Final answer
    x = 7,207.09

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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.