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Finding the Fourth Proportional to 9,929.94, 13,704.03 and 6,566.94

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Solution

The fourth proportional to 9,929.94, 13,704.03 and 6,566.94 is: 9,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.94 : 13,704.03 = 6,566.94 : x
  2. Step 2: Convert to fraction form
    9,929.94/13,704.03 = 6,566.94/x
  3. Step 3: Cross multiply
    9,929.94x = 13,704.03 × 6,566.94
  4. Step 4: Simplify right side
    9,929.94x = 89,993,542.77
  5. Step 5: Solve for x
    x = 89,993,542.77/9,929.94
  6. Step 6: Final answer
    x = 9,062.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.