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Finding the Fourth Proportional to 9,354.14, 12,903.48 and 5,944.86

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Solution

The fourth proportional to 9,354.14, 12,903.48 and 5,944.86 is: 8,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.14 : 12,903.48 = 5,944.86 : x
  2. Step 2: Convert to fraction form
    9,354.14/12,903.48 = 5,944.86/x
  3. Step 3: Cross multiply
    9,354.14x = 12,903.48 × 5,944.86
  4. Step 4: Simplify right side
    9,354.14x = 76,709,382.11
  5. Step 5: Solve for x
    x = 76,709,382.11/9,354.14
  6. Step 6: Final answer
    x = 8,200.58

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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.