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Finding the Fourth Proportional to 9,281.87, 12,811.33 and 5,305.33

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Solution

The fourth proportional to 9,281.87, 12,811.33 and 5,305.33 is: 7,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.87 : 12,811.33 = 5,305.33 : x
  2. Step 2: Convert to fraction form
    9,281.87/12,811.33 = 5,305.33/x
  3. Step 3: Cross multiply
    9,281.87x = 12,811.33 × 5,305.33
  4. Step 4: Simplify right side
    9,281.87x = 67,968,333.39
  5. Step 5: Solve for x
    x = 67,968,333.39/9,281.87
  6. Step 6: Final answer
    x = 7,322.70

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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.