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Finding the Fourth Proportional to 9,331.96, 12,878.46 and 5,797.12

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Solution

The fourth proportional to 9,331.96, 12,878.46 and 5,797.12 is: 8,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.96 : 12,878.46 = 5,797.12 : x
  2. Step 2: Convert to fraction form
    9,331.96/12,878.46 = 5,797.12/x
  3. Step 3: Cross multiply
    9,331.96x = 12,878.46 × 5,797.12
  4. Step 4: Simplify right side
    9,331.96x = 74,657,978.04
  5. Step 5: Solve for x
    x = 74,657,978.04/9,331.96
  6. Step 6: Final answer
    x = 8,000.25

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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.