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Finding the Fourth Proportional to 7,172.96, 9,898.72 and 4,340.48

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Solution

The fourth proportional to 7,172.96, 9,898.72 and 4,340.48 is: 5,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.96 : 9,898.72 = 4,340.48 : x
  2. Step 2: Convert to fraction form
    7,172.96/9,898.72 = 4,340.48/x
  3. Step 3: Cross multiply
    7,172.96x = 9,898.72 × 4,340.48
  4. Step 4: Simplify right side
    7,172.96x = 42,965,196.19
  5. Step 5: Solve for x
    x = 42,965,196.19/7,172.96
  6. Step 6: Final answer
    x = 5,989.88

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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.