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Finding the Fourth Proportional to 9,523.64, 13,144.14 and 9,103.12

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Solution

The fourth proportional to 9,523.64, 13,144.14 and 9,103.12 is: 12,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.64 : 13,144.14 = 9,103.12 : x
  2. Step 2: Convert to fraction form
    9,523.64/13,144.14 = 9,103.12/x
  3. Step 3: Cross multiply
    9,523.64x = 13,144.14 × 9,103.12
  4. Step 4: Simplify right side
    9,523.64x = 119,652,650.86
  5. Step 5: Solve for x
    x = 119,652,650.86/9,523.64
  6. Step 6: Final answer
    x = 12,563.75

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Double scale
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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.