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Finding the Fourth Proportional to 6,831.50, 9,425.42 and 4,176.32

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Solution

The fourth proportional to 6,831.50, 9,425.42 and 4,176.32 is: 5,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.50 : 9,425.42 = 4,176.32 : x
  2. Step 2: Convert to fraction form
    6,831.50/9,425.42 = 4,176.32/x
  3. Step 3: Cross multiply
    6,831.50x = 9,425.42 × 4,176.32
  4. Step 4: Simplify right side
    6,831.50x = 39,363,570.05
  5. Step 5: Solve for x
    x = 39,363,570.05/6,831.50
  6. Step 6: Final answer
    x = 5,762.07

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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.