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Finding the Fourth Proportional to 9,641.96, 14,459.16 and 3,400.64

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Solution

The fourth proportional to 9,641.96, 14,459.16 and 3,400.64 is: 5,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.96 : 14,459.16 = 3,400.64 : x
  2. Step 2: Convert to fraction form
    9,641.96/14,459.16 = 3,400.64/x
  3. Step 3: Cross multiply
    9,641.96x = 14,459.16 × 3,400.64
  4. Step 4: Simplify right side
    9,641.96x = 49,170,397.86
  5. Step 5: Solve for x
    x = 49,170,397.86/9,641.96
  6. Step 6: Final answer
    x = 5,099.63

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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.