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Finding the Fourth Proportional to 9,483.69, 13,087.50 and 5,234.76

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Solution

The fourth proportional to 9,483.69, 13,087.50 and 5,234.76 is: 7,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.69 : 13,087.50 = 5,234.76 : x
  2. Step 2: Convert to fraction form
    9,483.69/13,087.50 = 5,234.76/x
  3. Step 3: Cross multiply
    9,483.69x = 13,087.50 × 5,234.76
  4. Step 4: Simplify right side
    9,483.69x = 68,509,865.88
  5. Step 5: Solve for x
    x = 68,509,865.88/9,483.69
  6. Step 6: Final answer
    x = 7,223.96

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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.