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Finding the Fourth Proportional to 9,130.38, 13,700.93 and 3,865.07

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Solution

The fourth proportional to 9,130.38, 13,700.93 and 3,865.07 is: 5,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.38 : 13,700.93 = 3,865.07 : x
  2. Step 2: Convert to fraction form
    9,130.38/13,700.93 = 3,865.07/x
  3. Step 3: Cross multiply
    9,130.38x = 13,700.93 × 3,865.07
  4. Step 4: Simplify right side
    9,130.38x = 52,954,965.69
  5. Step 5: Solve for x
    x = 52,954,965.69/9,130.38
  6. Step 6: Final answer
    x = 5,799.86

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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.