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Finding the Fourth Proportional to 9,438.82, 13,020.42 and 5,900.74

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Solution

The fourth proportional to 9,438.82, 13,020.42 and 5,900.74 is: 8,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.82 : 13,020.42 = 5,900.74 : x
  2. Step 2: Convert to fraction form
    9,438.82/13,020.42 = 5,900.74/x
  3. Step 3: Cross multiply
    9,438.82x = 13,020.42 × 5,900.74
  4. Step 4: Simplify right side
    9,438.82x = 76,830,113.11
  5. Step 5: Solve for x
    x = 76,830,113.11/9,438.82
  6. Step 6: Final answer
    x = 8,139.80

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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.