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Finding the Fourth Proportional to 9,408.53, 12,989.90 and 6,423.28

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Solution

The fourth proportional to 9,408.53, 12,989.90 and 6,423.28 is: 8,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.53 : 12,989.90 = 6,423.28 : x
  2. Step 2: Convert to fraction form
    9,408.53/12,989.90 = 6,423.28/x
  3. Step 3: Cross multiply
    9,408.53x = 12,989.90 × 6,423.28
  4. Step 4: Simplify right side
    9,408.53x = 83,437,667.81
  5. Step 5: Solve for x
    x = 83,437,667.81/9,408.53
  6. Step 6: Final answer
    x = 8,868.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.