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Finding the Fourth Proportional to 6,174.32, 9,253.26 and 3,254.67

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Solution

The fourth proportional to 6,174.32, 9,253.26 and 3,254.67 is: 4,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.32 : 9,253.26 = 3,254.67 : x
  2. Step 2: Convert to fraction form
    6,174.32/9,253.26 = 3,254.67/x
  3. Step 3: Cross multiply
    6,174.32x = 9,253.26 × 3,254.67
  4. Step 4: Simplify right side
    6,174.32x = 30,116,307.72
  5. Step 5: Solve for x
    x = 30,116,307.72/6,174.32
  6. Step 6: Final answer
    x = 4,877.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.