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Finding the Fourth Proportional to 9,470.88, 13,069.92 and 5,222.10

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Solution

The fourth proportional to 9,470.88, 13,069.92 and 5,222.10 is: 7,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.88 : 13,069.92 = 5,222.10 : x
  2. Step 2: Convert to fraction form
    9,470.88/13,069.92 = 5,222.10/x
  3. Step 3: Cross multiply
    9,470.88x = 13,069.92 × 5,222.10
  4. Step 4: Simplify right side
    9,470.88x = 68,252,429.23
  5. Step 5: Solve for x
    x = 68,252,429.23/9,470.88
  6. Step 6: Final answer
    x = 7,206.56

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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.