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Finding the Fourth Proportional to 6,153.77, 9,230.32 and 1,771.05

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Solution

The fourth proportional to 6,153.77, 9,230.32 and 1,771.05 is: 2,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.77 : 9,230.32 = 1,771.05 : x
  2. Step 2: Convert to fraction form
    6,153.77/9,230.32 = 1,771.05/x
  3. Step 3: Cross multiply
    6,153.77x = 9,230.32 × 1,771.05
  4. Step 4: Simplify right side
    6,153.77x = 16,347,358.24
  5. Step 5: Solve for x
    x = 16,347,358.24/6,153.77
  6. Step 6: Final answer
    x = 2,656.48

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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.