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Finding the Fourth Proportional to 9,252.76, 12,768.34 and 5,716.28

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Solution

The fourth proportional to 9,252.76, 12,768.34 and 5,716.28 is: 7,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.76 : 12,768.34 = 5,716.28 : x
  2. Step 2: Convert to fraction form
    9,252.76/12,768.34 = 5,716.28/x
  3. Step 3: Cross multiply
    9,252.76x = 12,768.34 × 5,716.28
  4. Step 4: Simplify right side
    9,252.76x = 72,987,406.58
  5. Step 5: Solve for x
    x = 72,987,406.58/9,252.76
  6. Step 6: Final answer
    x = 7,888.18

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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.