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Finding the Fourth Proportional to 9,336.95, 12,884.49 and 5,800.10

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Solution

The fourth proportional to 9,336.95, 12,884.49 and 5,800.10 is: 8,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.95 : 12,884.49 = 5,800.10 : x
  2. Step 2: Convert to fraction form
    9,336.95/12,884.49 = 5,800.10/x
  3. Step 3: Cross multiply
    9,336.95x = 12,884.49 × 5,800.10
  4. Step 4: Simplify right side
    9,336.95x = 74,731,330.45
  5. Step 5: Solve for x
    x = 74,731,330.45/9,336.95
  6. Step 6: Final answer
    x = 8,003.83

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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.