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Finding the Fourth Proportional to 9,314.28, 12,836.88 and 7,550.10

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Solution

The fourth proportional to 9,314.28, 12,836.88 and 7,550.10 is: 10,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.28 : 12,836.88 = 7,550.10 : x
  2. Step 2: Convert to fraction form
    9,314.28/12,836.88 = 7,550.10/x
  3. Step 3: Cross multiply
    9,314.28x = 12,836.88 × 7,550.10
  4. Step 4: Simplify right side
    9,314.28x = 96,919,727.69
  5. Step 5: Solve for x
    x = 96,919,727.69/9,314.28
  6. Step 6: Final answer
    x = 10,405.50

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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.