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Finding the Fourth Proportional to 9,334.76, 12,882.87 and 6,972.80

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Solution

The fourth proportional to 9,334.76, 12,882.87 and 6,972.80 is: 9,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.76 : 12,882.87 = 6,972.80 : x
  2. Step 2: Convert to fraction form
    9,334.76/12,882.87 = 6,972.80/x
  3. Step 3: Cross multiply
    9,334.76x = 12,882.87 × 6,972.80
  4. Step 4: Simplify right side
    9,334.76x = 89,829,611.52
  5. Step 5: Solve for x
    x = 89,829,611.52/9,334.76
  6. Step 6: Final answer
    x = 9,623.14

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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.