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Finding the Fourth Proportional to 6,176.92, 9,267.80 and 2,281.64

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Solution

The fourth proportional to 6,176.92, 9,267.80 and 2,281.64 is: 3,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.92 : 9,267.80 = 2,281.64 : x
  2. Step 2: Convert to fraction form
    6,176.92/9,267.80 = 2,281.64/x
  3. Step 3: Cross multiply
    6,176.92x = 9,267.80 × 2,281.64
  4. Step 4: Simplify right side
    6,176.92x = 21,145,783.19
  5. Step 5: Solve for x
    x = 21,145,783.19/6,176.92
  6. Step 6: Final answer
    x = 3,423.35

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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.