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Finding the Fourth Proportional to 6,106.54, 9,160 and 4,789.06

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Solution

The fourth proportional to 6,106.54, 9,160 and 4,789.06 is: 7,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.54 : 9,160 = 4,789.06 : x
  2. Step 2: Convert to fraction form
    6,106.54/9,160 = 4,789.06/x
  3. Step 3: Cross multiply
    6,106.54x = 9,160 × 4,789.06
  4. Step 4: Simplify right side
    6,106.54x = 43,867,789.60
  5. Step 5: Solve for x
    x = 43,867,789.60/6,106.54
  6. Step 6: Final answer
    x = 7,183.74

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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.