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Finding the Fourth Proportional to 9,692.10, 14,538.15 and 6,408.90

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Solution

The fourth proportional to 9,692.10, 14,538.15 and 6,408.90 is: 9,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.10 : 14,538.15 = 6,408.90 : x
  2. Step 2: Convert to fraction form
    9,692.10/14,538.15 = 6,408.90/x
  3. Step 3: Cross multiply
    9,692.10x = 14,538.15 × 6,408.90
  4. Step 4: Simplify right side
    9,692.10x = 93,173,549.54
  5. Step 5: Solve for x
    x = 93,173,549.54/9,692.10
  6. Step 6: Final answer
    x = 9,613.35

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Similar ratio
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1.5x scale

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.