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Finding the Fourth Proportional to 6,155.78, 9,231.50 and 1,772.06

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Solution

The fourth proportional to 6,155.78, 9,231.50 and 1,772.06 is: 2,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.78 : 9,231.50 = 1,772.06 : x
  2. Step 2: Convert to fraction form
    6,155.78/9,231.50 = 1,772.06/x
  3. Step 3: Cross multiply
    6,155.78x = 9,231.50 × 1,772.06
  4. Step 4: Simplify right side
    6,155.78x = 16,358,730.16
  5. Step 5: Solve for x
    x = 16,358,730.16/6,155.78
  6. Step 6: Final answer
    x = 2,657.46

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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.