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Finding the Fourth Proportional to 7,222.80, 9,956.52 and 5,648.16

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Solution

The fourth proportional to 7,222.80, 9,956.52 and 5,648.16 is: 7,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.80 : 9,956.52 = 5,648.16 : x
  2. Step 2: Convert to fraction form
    7,222.80/9,956.52 = 5,648.16/x
  3. Step 3: Cross multiply
    7,222.80x = 9,956.52 × 5,648.16
  4. Step 4: Simplify right side
    7,222.80x = 56,236,018.00
  5. Step 5: Solve for x
    x = 56,236,018.00/7,222.80
  6. Step 6: Final answer
    x = 7,785.90

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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.