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Finding the Fourth Proportional to 9,403.64, 12,977.04 and 5,866.88

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Solution

The fourth proportional to 9,403.64, 12,977.04 and 5,866.88 is: 8,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.64 : 12,977.04 = 5,866.88 : x
  2. Step 2: Convert to fraction form
    9,403.64/12,977.04 = 5,866.88/x
  3. Step 3: Cross multiply
    9,403.64x = 12,977.04 × 5,866.88
  4. Step 4: Simplify right side
    9,403.64x = 76,134,736.44
  5. Step 5: Solve for x
    x = 76,134,736.44/9,403.64
  6. Step 6: Final answer
    x = 8,096.30

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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.