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Finding the Fourth Proportional to 9,326.24, 13,976.40 and 7,745.12

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Solution

The fourth proportional to 9,326.24, 13,976.40 and 7,745.12 is: 11,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.24 : 13,976.40 = 7,745.12 : x
  2. Step 2: Convert to fraction form
    9,326.24/13,976.40 = 7,745.12/x
  3. Step 3: Cross multiply
    9,326.24x = 13,976.40 × 7,745.12
  4. Step 4: Simplify right side
    9,326.24x = 108,248,895.17
  5. Step 5: Solve for x
    x = 108,248,895.17/9,326.24
  6. Step 6: Final answer
    x = 11,606.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.