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Finding the Fourth Proportional to 7,022.44, 9,698.16 and 5,831.74

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Solution

The fourth proportional to 7,022.44, 9,698.16 and 5,831.74 is: 8,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.44 : 9,698.16 = 5,831.74 : x
  2. Step 2: Convert to fraction form
    7,022.44/9,698.16 = 5,831.74/x
  3. Step 3: Cross multiply
    7,022.44x = 9,698.16 × 5,831.74
  4. Step 4: Simplify right side
    7,022.44x = 56,557,147.60
  5. Step 5: Solve for x
    x = 56,557,147.60/7,022.44
  6. Step 6: Final answer
    x = 8,053.77

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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.