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Finding the Fourth Proportional to 9,709.83, 14,552.52 and 4,156.61

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Solution

The fourth proportional to 9,709.83, 14,552.52 and 4,156.61 is: 6,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.83 : 14,552.52 = 4,156.61 : x
  2. Step 2: Convert to fraction form
    9,709.83/14,552.52 = 4,156.61/x
  3. Step 3: Cross multiply
    9,709.83x = 14,552.52 × 4,156.61
  4. Step 4: Simplify right side
    9,709.83x = 60,489,077.39
  5. Step 5: Solve for x
    x = 60,489,077.39/9,709.83
  6. Step 6: Final answer
    x = 6,229.67

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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.