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Finding the Fourth Proportional to 9,794.81, 14,692.34 and 2,869.45

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Solution

The fourth proportional to 9,794.81, 14,692.34 and 2,869.45 is: 4,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.81 : 14,692.34 = 2,869.45 : x
  2. Step 2: Convert to fraction form
    9,794.81/14,692.34 = 2,869.45/x
  3. Step 3: Cross multiply
    9,794.81x = 14,692.34 × 2,869.45
  4. Step 4: Simplify right side
    9,794.81x = 42,158,920.67
  5. Step 5: Solve for x
    x = 42,158,920.67/9,794.81
  6. Step 6: Final answer
    x = 4,304.21

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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.