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Finding the Fourth Proportional to 9,365.67, 14,043.23 and 4,099.86

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Solution

The fourth proportional to 9,365.67, 14,043.23 and 4,099.86 is: 6,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.67 : 14,043.23 = 4,099.86 : x
  2. Step 2: Convert to fraction form
    9,365.67/14,043.23 = 4,099.86/x
  3. Step 3: Cross multiply
    9,365.67x = 14,043.23 × 4,099.86
  4. Step 4: Simplify right side
    9,365.67x = 57,575,276.95
  5. Step 5: Solve for x
    x = 57,575,276.95/9,365.67
  6. Step 6: Final answer
    x = 6,147.48

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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.