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Finding the Fourth Proportional to 9,588.38, 14,384.73 and 3,746.66

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Solution

The fourth proportional to 9,588.38, 14,384.73 and 3,746.66 is: 5,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.38 : 14,384.73 = 3,746.66 : x
  2. Step 2: Convert to fraction form
    9,588.38/14,384.73 = 3,746.66/x
  3. Step 3: Cross multiply
    9,588.38x = 14,384.73 × 3,746.66
  4. Step 4: Simplify right side
    9,588.38x = 53,894,692.50
  5. Step 5: Solve for x
    x = 53,894,692.50/9,588.38
  6. Step 6: Final answer
    x = 5,620.83

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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.