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Finding the Fourth Proportional to 6,831.50, 9,424.14 and 4,174.28

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Solution

The fourth proportional to 6,831.50, 9,424.14 and 4,174.28 is: 5,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.50 : 9,424.14 = 4,174.28 : x
  2. Step 2: Convert to fraction form
    6,831.50/9,424.14 = 4,174.28/x
  3. Step 3: Cross multiply
    6,831.50x = 9,424.14 × 4,174.28
  4. Step 4: Simplify right side
    6,831.50x = 39,338,999.12
  5. Step 5: Solve for x
    x = 39,338,999.12/6,831.50
  6. Step 6: Final answer
    x = 5,758.47

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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.