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Finding the Fourth Proportional to 9,773.28, 14,591.52 and 8,943.84

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Solution

The fourth proportional to 9,773.28, 14,591.52 and 8,943.84 is: 13,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.28 : 14,591.52 = 8,943.84 : x
  2. Step 2: Convert to fraction form
    9,773.28/14,591.52 = 8,943.84/x
  3. Step 3: Cross multiply
    9,773.28x = 14,591.52 × 8,943.84
  4. Step 4: Simplify right side
    9,773.28x = 130,504,220.24
  5. Step 5: Solve for x
    x = 130,504,220.24/9,773.28
  6. Step 6: Final answer
    x = 13,353.16

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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.