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Finding the Fourth Proportional to 6,831.48, 9,365.99 and 6,706.94

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Solution

The fourth proportional to 6,831.48, 9,365.99 and 6,706.94 is: 9,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.48 : 9,365.99 = 6,706.94 : x
  2. Step 2: Convert to fraction form
    6,831.48/9,365.99 = 6,706.94/x
  3. Step 3: Cross multiply
    6,831.48x = 9,365.99 × 6,706.94
  4. Step 4: Simplify right side
    6,831.48x = 62,817,173.15
  5. Step 5: Solve for x
    x = 62,817,173.15/6,831.48
  6. Step 6: Final answer
    x = 9,195.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.