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Finding the Fourth Proportional to 9,766, 13,477.08 and 5,574.36

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Solution

The fourth proportional to 9,766, 13,477.08 and 5,574.36 is: 7,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766 : 13,477.08 = 5,574.36 : x
  2. Step 2: Convert to fraction form
    9,766/13,477.08 = 5,574.36/x
  3. Step 3: Cross multiply
    9,766x = 13,477.08 × 5,574.36
  4. Step 4: Simplify right side
    9,766x = 75,126,095.67
  5. Step 5: Solve for x
    x = 75,126,095.67/9,766
  6. Step 6: Final answer
    x = 7,692.62

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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.