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Finding the Fourth Proportional to 9,736.95, 13,438.74 and 9,293.23

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Solution

The fourth proportional to 9,736.95, 13,438.74 and 9,293.23 is: 12,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.95 : 13,438.74 = 9,293.23 : x
  2. Step 2: Convert to fraction form
    9,736.95/13,438.74 = 9,293.23/x
  3. Step 3: Cross multiply
    9,736.95x = 13,438.74 × 9,293.23
  4. Step 4: Simplify right side
    9,736.95x = 124,889,268.13
  5. Step 5: Solve for x
    x = 124,889,268.13/9,736.95
  6. Step 6: Final answer
    x = 12,826.32

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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.