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Finding the Fourth Proportional to 6,117.94, 9,176.54 and 2,169.40

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Solution

The fourth proportional to 6,117.94, 9,176.54 and 2,169.40 is: 3,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.94 : 9,176.54 = 2,169.40 : x
  2. Step 2: Convert to fraction form
    6,117.94/9,176.54 = 2,169.40/x
  3. Step 3: Cross multiply
    6,117.94x = 9,176.54 × 2,169.40
  4. Step 4: Simplify right side
    6,117.94x = 19,907,560.96
  5. Step 5: Solve for x
    x = 19,907,560.96/6,117.94
  6. Step 6: Final answer
    x = 3,253.96

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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.