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Finding the Fourth Proportional to 9,370.14, 12,933.36 and 5,831.28

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Solution

The fourth proportional to 9,370.14, 12,933.36 and 5,831.28 is: 8,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.14 : 12,933.36 = 5,831.28 : x
  2. Step 2: Convert to fraction form
    9,370.14/12,933.36 = 5,831.28/x
  3. Step 3: Cross multiply
    9,370.14x = 12,933.36 × 5,831.28
  4. Step 4: Simplify right side
    9,370.14x = 75,418,043.50
  5. Step 5: Solve for x
    x = 75,418,043.50/9,370.14
  6. Step 6: Final answer
    x = 8,048.76

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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.