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Finding the Fourth Proportional to 9,223.44, 13,835.16 and 8,302.86

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Solution

The fourth proportional to 9,223.44, 13,835.16 and 8,302.86 is: 12,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.44 : 13,835.16 = 8,302.86 : x
  2. Step 2: Convert to fraction form
    9,223.44/13,835.16 = 8,302.86/x
  3. Step 3: Cross multiply
    9,223.44x = 13,835.16 × 8,302.86
  4. Step 4: Simplify right side
    9,223.44x = 114,871,327.38
  5. Step 5: Solve for x
    x = 114,871,327.38/9,223.44
  6. Step 6: Final answer
    x = 12,454.29

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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.