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Finding the Fourth Proportional to 9,164.03, 13,746.03 and 3,245.25

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Solution

The fourth proportional to 9,164.03, 13,746.03 and 3,245.25 is: 4,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.03 : 13,746.03 = 3,245.25 : x
  2. Step 2: Convert to fraction form
    9,164.03/13,746.03 = 3,245.25/x
  3. Step 3: Cross multiply
    9,164.03x = 13,746.03 × 3,245.25
  4. Step 4: Simplify right side
    9,164.03x = 44,609,303.86
  5. Step 5: Solve for x
    x = 44,609,303.86/9,164.03
  6. Step 6: Final answer
    x = 4,867.87

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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.