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Finding the Fourth Proportional to 6,548.92, 9,823.44 and 3,088.60

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Solution

The fourth proportional to 6,548.92, 9,823.44 and 3,088.60 is: 4,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.92 : 9,823.44 = 3,088.60 : x
  2. Step 2: Convert to fraction form
    6,548.92/9,823.44 = 3,088.60/x
  3. Step 3: Cross multiply
    6,548.92x = 9,823.44 × 3,088.60
  4. Step 4: Simplify right side
    6,548.92x = 30,340,676.78
  5. Step 5: Solve for x
    x = 30,340,676.78/6,548.92
  6. Step 6: Final answer
    x = 4,632.93

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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.