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Finding the Fourth Proportional to 9,977.11, 14,960.77 and 5,818.16

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Solution

The fourth proportional to 9,977.11, 14,960.77 and 5,818.16 is: 8,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.11 : 14,960.77 = 5,818.16 : x
  2. Step 2: Convert to fraction form
    9,977.11/14,960.77 = 5,818.16/x
  3. Step 3: Cross multiply
    9,977.11x = 14,960.77 × 5,818.16
  4. Step 4: Simplify right side
    9,977.11x = 87,044,176.44
  5. Step 5: Solve for x
    x = 87,044,176.44/9,977.11
  6. Step 6: Final answer
    x = 8,724.39

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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.