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Finding the Fourth Proportional to 6,907.48, 9,532.28 and 3,763.67

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Solution

The fourth proportional to 6,907.48, 9,532.28 and 3,763.67 is: 5,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.48 : 9,532.28 = 3,763.67 : x
  2. Step 2: Convert to fraction form
    6,907.48/9,532.28 = 3,763.67/x
  3. Step 3: Cross multiply
    6,907.48x = 9,532.28 × 3,763.67
  4. Step 4: Simplify right side
    6,907.48x = 35,876,318.02
  5. Step 5: Solve for x
    x = 35,876,318.02/6,907.48
  6. Step 6: Final answer
    x = 5,193.84

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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.