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Finding the Fourth Proportional to 9,753.01, 13,464.57 and 6,172.72

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Solution

The fourth proportional to 9,753.01, 13,464.57 and 6,172.72 is: 8,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.01 : 13,464.57 = 6,172.72 : x
  2. Step 2: Convert to fraction form
    9,753.01/13,464.57 = 6,172.72/x
  3. Step 3: Cross multiply
    9,753.01x = 13,464.57 × 6,172.72
  4. Step 4: Simplify right side
    9,753.01x = 83,113,020.53
  5. Step 5: Solve for x
    x = 83,113,020.53/9,753.01
  6. Step 6: Final answer
    x = 8,521.78

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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.