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Finding the Fourth Proportional to 9,272.86, 13,913.86 and 4,341.64

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Solution

The fourth proportional to 9,272.86, 13,913.86 and 4,341.64 is: 6,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.86 : 13,913.86 = 4,341.64 : x
  2. Step 2: Convert to fraction form
    9,272.86/13,913.86 = 4,341.64/x
  3. Step 3: Cross multiply
    9,272.86x = 13,913.86 × 4,341.64
  4. Step 4: Simplify right side
    9,272.86x = 60,408,971.13
  5. Step 5: Solve for x
    x = 60,408,971.13/9,272.86
  6. Step 6: Final answer
    x = 6,514.60

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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.