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Finding the Fourth Proportional to 9,438.97, 13,030.78 and 5,903.32

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Solution

The fourth proportional to 9,438.97, 13,030.78 and 5,903.32 is: 8,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.97 : 13,030.78 = 5,903.32 : x
  2. Step 2: Convert to fraction form
    9,438.97/13,030.78 = 5,903.32/x
  3. Step 3: Cross multiply
    9,438.97x = 13,030.78 × 5,903.32
  4. Step 4: Simplify right side
    9,438.97x = 76,924,799.04
  5. Step 5: Solve for x
    x = 76,924,799.04/9,438.97
  6. Step 6: Final answer
    x = 8,149.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.