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Finding the Fourth Proportional to 6,176.96, 9,261.12 and 2,280.32

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Solution

The fourth proportional to 6,176.96, 9,261.12 and 2,280.32 is: 3,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.96 : 9,261.12 = 2,280.32 : x
  2. Step 2: Convert to fraction form
    6,176.96/9,261.12 = 2,280.32/x
  3. Step 3: Cross multiply
    6,176.96x = 9,261.12 × 2,280.32
  4. Step 4: Simplify right side
    6,176.96x = 21,118,317.16
  5. Step 5: Solve for x
    x = 21,118,317.16/6,176.96
  6. Step 6: Final answer
    x = 3,418.89

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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.