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Finding the Fourth Proportional to 9,408.70, 14,113.05 and 4,743.10

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Solution

The fourth proportional to 9,408.70, 14,113.05 and 4,743.10 is: 7,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.70 : 14,113.05 = 4,743.10 : x
  2. Step 2: Convert to fraction form
    9,408.70/14,113.05 = 4,743.10/x
  3. Step 3: Cross multiply
    9,408.70x = 14,113.05 × 4,743.10
  4. Step 4: Simplify right side
    9,408.70x = 66,939,607.46
  5. Step 5: Solve for x
    x = 66,939,607.46/9,408.70
  6. Step 6: Final answer
    x = 7,114.65

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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.