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Finding the Fourth Proportional to 9,215.64, 12,710.72 and 7,222.23

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Solution

The fourth proportional to 9,215.64, 12,710.72 and 7,222.23 is: 9,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.64 : 12,710.72 = 7,222.23 : x
  2. Step 2: Convert to fraction form
    9,215.64/12,710.72 = 7,222.23/x
  3. Step 3: Cross multiply
    9,215.64x = 12,710.72 × 7,222.23
  4. Step 4: Simplify right side
    9,215.64x = 91,799,761.36
  5. Step 5: Solve for x
    x = 91,799,761.36/9,215.64
  6. Step 6: Final answer
    x = 9,961.30

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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.