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Finding the Fourth Proportional to 9,530.85, 13,152.19 and 5,281.98

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Solution

The fourth proportional to 9,530.85, 13,152.19 and 5,281.98 is: 7,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.85 : 13,152.19 = 5,281.98 : x
  2. Step 2: Convert to fraction form
    9,530.85/13,152.19 = 5,281.98/x
  3. Step 3: Cross multiply
    9,530.85x = 13,152.19 × 5,281.98
  4. Step 4: Simplify right side
    9,530.85x = 69,469,604.54
  5. Step 5: Solve for x
    x = 69,469,604.54/9,530.85
  6. Step 6: Final answer
    x = 7,288.92

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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.