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Finding the Fourth Proportional to 39,311.40, 58,966.36 and 9,729.24

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Solution

The fourth proportional to 39,311.40, 58,966.36 and 9,729.24 is: 14,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,311.40 : 58,966.36 = 9,729.24 : x
  2. Step 2: Convert to fraction form
    39,311.40/58,966.36 = 9,729.24/x
  3. Step 3: Cross multiply
    39,311.40x = 58,966.36 × 9,729.24
  4. Step 4: Simplify right side
    39,311.40x = 573,697,868.37
  5. Step 5: Solve for x
    x = 573,697,868.37/39,311.40
  6. Step 6: Final answer
    x = 14,593.68

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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.