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Finding the Fourth Proportional to 9,277.98, 12,804.27 and 5,743.23

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Solution

The fourth proportional to 9,277.98, 12,804.27 and 5,743.23 is: 7,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.98 : 12,804.27 = 5,743.23 : x
  2. Step 2: Convert to fraction form
    9,277.98/12,804.27 = 5,743.23/x
  3. Step 3: Cross multiply
    9,277.98x = 12,804.27 × 5,743.23
  4. Step 4: Simplify right side
    9,277.98x = 73,537,867.59
  5. Step 5: Solve for x
    x = 73,537,867.59/9,277.98
  6. Step 6: Final answer
    x = 7,926.06

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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.