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Finding the Fourth Proportional to 9,338.42, 14,007.45 and 2,318.45

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Solution

The fourth proportional to 9,338.42, 14,007.45 and 2,318.45 is: 3,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.42 : 14,007.45 = 2,318.45 : x
  2. Step 2: Convert to fraction form
    9,338.42/14,007.45 = 2,318.45/x
  3. Step 3: Cross multiply
    9,338.42x = 14,007.45 × 2,318.45
  4. Step 4: Simplify right side
    9,338.42x = 32,475,502.42
  5. Step 5: Solve for x
    x = 32,475,502.42/9,338.42
  6. Step 6: Final answer
    x = 3,477.62

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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.