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Finding the Fourth Proportional to 7,229.76, 9,973.22 and 4,398.00

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Solution

The fourth proportional to 7,229.76, 9,973.22 and 4,398.00 is: 6,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.76 : 9,973.22 = 4,398.00 : x
  2. Step 2: Convert to fraction form
    7,229.76/9,973.22 = 4,398.00/x
  3. Step 3: Cross multiply
    7,229.76x = 9,973.22 × 4,398.00
  4. Step 4: Simplify right side
    7,229.76x = 43,862,162.17
  5. Step 5: Solve for x
    x = 43,862,162.17/7,229.76
  6. Step 6: Final answer
    x = 6,066.89

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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.