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Finding the Fourth Proportional to 9,284.34, 13,930.61 and 3,748.50

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Solution

The fourth proportional to 9,284.34, 13,930.61 and 3,748.50 is: 5,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.34 : 13,930.61 = 3,748.50 : x
  2. Step 2: Convert to fraction form
    9,284.34/13,930.61 = 3,748.50/x
  3. Step 3: Cross multiply
    9,284.34x = 13,930.61 × 3,748.50
  4. Step 4: Simplify right side
    9,284.34x = 52,218,891.59
  5. Step 5: Solve for x
    x = 52,218,891.59/9,284.34
  6. Step 6: Final answer
    x = 5,624.41

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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.