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Finding the Fourth Proportional to 7,048.22, 9,724.34 and 4,063.66

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Solution

The fourth proportional to 7,048.22, 9,724.34 and 4,063.66 is: 5,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.22 : 9,724.34 = 4,063.66 : x
  2. Step 2: Convert to fraction form
    7,048.22/9,724.34 = 4,063.66/x
  3. Step 3: Cross multiply
    7,048.22x = 9,724.34 × 4,063.66
  4. Step 4: Simplify right side
    7,048.22x = 39,516,397.33
  5. Step 5: Solve for x
    x = 39,516,397.33/7,048.22
  6. Step 6: Final answer
    x = 5,606.58

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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.