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Finding the Fourth Proportional to 9,804.69, 13,530.50 and 5,612.94

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Solution

The fourth proportional to 9,804.69, 13,530.50 and 5,612.94 is: 7,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.69 : 13,530.50 = 5,612.94 : x
  2. Step 2: Convert to fraction form
    9,804.69/13,530.50 = 5,612.94/x
  3. Step 3: Cross multiply
    9,804.69x = 13,530.50 × 5,612.94
  4. Step 4: Simplify right side
    9,804.69x = 75,945,884.67
  5. Step 5: Solve for x
    x = 75,945,884.67/9,804.69
  6. Step 6: Final answer
    x = 7,745.87

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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.