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Finding the Fourth Proportional to 6,929.48, 9,562.24 and 3,785.67

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Solution

The fourth proportional to 6,929.48, 9,562.24 and 3,785.67 is: 5,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.48 : 9,562.24 = 3,785.67 : x
  2. Step 2: Convert to fraction form
    6,929.48/9,562.24 = 3,785.67/x
  3. Step 3: Cross multiply
    6,929.48x = 9,562.24 × 3,785.67
  4. Step 4: Simplify right side
    6,929.48x = 36,199,485.10
  5. Step 5: Solve for x
    x = 36,199,485.10/6,929.48
  6. Step 6: Final answer
    x = 5,223.98

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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.