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Finding the Fourth Proportional to 9,793.96, 14,688.15 and 2,773.51

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Solution

The fourth proportional to 9,793.96, 14,688.15 and 2,773.51 is: 4,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.96 : 14,688.15 = 2,773.51 : x
  2. Step 2: Convert to fraction form
    9,793.96/14,688.15 = 2,773.51/x
  3. Step 3: Cross multiply
    9,793.96x = 14,688.15 × 2,773.51
  4. Step 4: Simplify right side
    9,793.96x = 40,737,730.91
  5. Step 5: Solve for x
    x = 40,737,730.91/9,793.96
  6. Step 6: Final answer
    x = 4,159.47

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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.