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Finding the Fourth Proportional to 8,776.40, 13,183.80 and 6,184.40

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Solution

The fourth proportional to 8,776.40, 13,183.80 and 6,184.40 is: 9,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776.40 : 13,183.80 = 6,184.40 : x
  2. Step 2: Convert to fraction form
    8,776.40/13,183.80 = 6,184.40/x
  3. Step 3: Cross multiply
    8,776.40x = 13,183.80 × 6,184.40
  4. Step 4: Simplify right side
    8,776.40x = 81,533,892.72
  5. Step 5: Solve for x
    x = 81,533,892.72/8,776.40
  6. Step 6: Final answer
    x = 9,290.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.