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Finding the Fourth Proportional to 7,208.56, 9,948.78 and 4,225.12

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Solution

The fourth proportional to 7,208.56, 9,948.78 and 4,225.12 is: 5,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.56 : 9,948.78 = 4,225.12 : x
  2. Step 2: Convert to fraction form
    7,208.56/9,948.78 = 4,225.12/x
  3. Step 3: Cross multiply
    7,208.56x = 9,948.78 × 4,225.12
  4. Step 4: Simplify right side
    7,208.56x = 42,034,789.35
  5. Step 5: Solve for x
    x = 42,034,789.35/7,208.56
  6. Step 6: Final answer
    x = 5,831.23

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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.