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Finding the Fourth Proportional to 9,692.12, 13,443.10 and 9,298.46

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Solution

The fourth proportional to 9,692.12, 13,443.10 and 9,298.46 is: 12,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.12 : 13,443.10 = 9,298.46 : x
  2. Step 2: Convert to fraction form
    9,692.12/13,443.10 = 9,298.46/x
  3. Step 3: Cross multiply
    9,692.12x = 13,443.10 × 9,298.46
  4. Step 4: Simplify right side
    9,692.12x = 125,000,137.99
  5. Step 5: Solve for x
    x = 125,000,137.99/9,692.12
  6. Step 6: Final answer
    x = 12,897.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.