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Finding the Fourth Proportional to 9,633.76, 13,294.85 and 5,384.70

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Solution

The fourth proportional to 9,633.76, 13,294.85 and 5,384.70 is: 7,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.76 : 13,294.85 = 5,384.70 : x
  2. Step 2: Convert to fraction form
    9,633.76/13,294.85 = 5,384.70/x
  3. Step 3: Cross multiply
    9,633.76x = 13,294.85 × 5,384.70
  4. Step 4: Simplify right side
    9,633.76x = 71,588,751.87
  5. Step 5: Solve for x
    x = 71,588,751.87/9,633.76
  6. Step 6: Final answer
    x = 7,431.03

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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.