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Finding the Fourth Proportional to 9,569.37, 14,337.09 and 8,168.66

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Solution

The fourth proportional to 9,569.37, 14,337.09 and 8,168.66 is: 12,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.37 : 14,337.09 = 8,168.66 : x
  2. Step 2: Convert to fraction form
    9,569.37/14,337.09 = 8,168.66/x
  3. Step 3: Cross multiply
    9,569.37x = 14,337.09 × 8,168.66
  4. Step 4: Simplify right side
    9,569.37x = 117,114,741.91
  5. Step 5: Solve for x
    x = 117,114,741.91/9,569.37
  6. Step 6: Final answer
    x = 12,238.50

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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.