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Finding the Fourth Proportional to 9,282.54, 12,803.33 and 5,697.69

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Solution

The fourth proportional to 9,282.54, 12,803.33 and 5,697.69 is: 7,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.54 : 12,803.33 = 5,697.69 : x
  2. Step 2: Convert to fraction form
    9,282.54/12,803.33 = 5,697.69/x
  3. Step 3: Cross multiply
    9,282.54x = 12,803.33 × 5,697.69
  4. Step 4: Simplify right side
    9,282.54x = 72,949,371.54
  5. Step 5: Solve for x
    x = 72,949,371.54/9,282.54
  6. Step 6: Final answer
    x = 7,858.77

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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.