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Finding the Fourth Proportional to 9,346.69, 14,007.84 and 3,793.53

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Solution

The fourth proportional to 9,346.69, 14,007.84 and 3,793.53 is: 5,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.69 : 14,007.84 = 3,793.53 : x
  2. Step 2: Convert to fraction form
    9,346.69/14,007.84 = 3,793.53/x
  3. Step 3: Cross multiply
    9,346.69x = 14,007.84 × 3,793.53
  4. Step 4: Simplify right side
    9,346.69x = 53,139,199.58
  5. Step 5: Solve for x
    x = 53,139,199.58/9,346.69
  6. Step 6: Final answer
    x = 5,685.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.