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Finding the Fourth Proportional to 9,344.60, 14,009.98 and 5,645.96

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Solution

The fourth proportional to 9,344.60, 14,009.98 and 5,645.96 is: 8,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.60 : 14,009.98 = 5,645.96 : x
  2. Step 2: Convert to fraction form
    9,344.60/14,009.98 = 5,645.96/x
  3. Step 3: Cross multiply
    9,344.60x = 14,009.98 × 5,645.96
  4. Step 4: Simplify right side
    9,344.60x = 79,099,809.40
  5. Step 5: Solve for x
    x = 79,099,809.40/9,344.60
  6. Step 6: Final answer
    x = 8,464.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.