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Finding the Fourth Proportional to 7,152.09, 9,872.04 and 4,634.34

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Solution

The fourth proportional to 7,152.09, 9,872.04 and 4,634.34 is: 6,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.09 : 9,872.04 = 4,634.34 : x
  2. Step 2: Convert to fraction form
    7,152.09/9,872.04 = 4,634.34/x
  3. Step 3: Cross multiply
    7,152.09x = 9,872.04 × 4,634.34
  4. Step 4: Simplify right side
    7,152.09x = 45,750,389.85
  5. Step 5: Solve for x
    x = 45,750,389.85/7,152.09
  6. Step 6: Final answer
    x = 6,396.79

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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.