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Finding the Fourth Proportional to 6,264.65, 9,388.83 and 4,692.30

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Solution

The fourth proportional to 6,264.65, 9,388.83 and 4,692.30 is: 7,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.65 : 9,388.83 = 4,692.30 : x
  2. Step 2: Convert to fraction form
    6,264.65/9,388.83 = 4,692.30/x
  3. Step 3: Cross multiply
    6,264.65x = 9,388.83 × 4,692.30
  4. Step 4: Simplify right side
    6,264.65x = 44,055,207.01
  5. Step 5: Solve for x
    x = 44,055,207.01/6,264.65
  6. Step 6: Final answer
    x = 7,032.35

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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.