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Finding the Fourth Proportional to 9,253.01, 12,768.68 and 5,716.53

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Solution

The fourth proportional to 9,253.01, 12,768.68 and 5,716.53 is: 7,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.01 : 12,768.68 = 5,716.53 : x
  2. Step 2: Convert to fraction form
    9,253.01/12,768.68 = 5,716.53/x
  3. Step 3: Cross multiply
    9,253.01x = 12,768.68 × 5,716.53
  4. Step 4: Simplify right side
    9,253.01x = 72,992,542.28
  5. Step 5: Solve for x
    x = 72,992,542.28/9,253.01
  6. Step 6: Final answer
    x = 7,888.52

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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.