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Finding the Fourth Proportional to 9,757.60, 14,635.68 and 2,831.68

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Solution

The fourth proportional to 9,757.60, 14,635.68 and 2,831.68 is: 4,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.60 : 14,635.68 = 2,831.68 : x
  2. Step 2: Convert to fraction form
    9,757.60/14,635.68 = 2,831.68/x
  3. Step 3: Cross multiply
    9,757.60x = 14,635.68 × 2,831.68
  4. Step 4: Simplify right side
    9,757.60x = 41,443,562.34
  5. Step 5: Solve for x
    x = 41,443,562.34/9,757.60
  6. Step 6: Final answer
    x = 4,247.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.