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Finding the Fourth Proportional to 9,793.67, 14,695.23 and 6,094.94

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Solution

The fourth proportional to 9,793.67, 14,695.23 and 6,094.94 is: 9,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.67 : 14,695.23 = 6,094.94 : x
  2. Step 2: Convert to fraction form
    9,793.67/14,695.23 = 6,094.94/x
  3. Step 3: Cross multiply
    9,793.67x = 14,695.23 × 6,094.94
  4. Step 4: Simplify right side
    9,793.67x = 89,566,471.66
  5. Step 5: Solve for x
    x = 89,566,471.66/9,793.67
  6. Step 6: Final answer
    x = 9,145.35

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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.