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Finding the Fourth Proportional to 9,332.92, 13,931.09 and 8,225.80

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Solution

The fourth proportional to 9,332.92, 13,931.09 and 8,225.80 is: 12,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.92 : 13,931.09 = 8,225.80 : x
  2. Step 2: Convert to fraction form
    9,332.92/13,931.09 = 8,225.80/x
  3. Step 3: Cross multiply
    9,332.92x = 13,931.09 × 8,225.80
  4. Step 4: Simplify right side
    9,332.92x = 114,594,360.12
  5. Step 5: Solve for x
    x = 114,594,360.12/9,332.92
  6. Step 6: Final answer
    x = 12,278.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.