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Finding the Fourth Proportional to 11,334.56, 15,643.55 and 9,443.14

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Solution

The fourth proportional to 11,334.56, 15,643.55 and 9,443.14 is: 13,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.56 : 15,643.55 = 9,443.14 : x
  2. Step 2: Convert to fraction form
    11,334.56/15,643.55 = 9,443.14/x
  3. Step 3: Cross multiply
    11,334.56x = 15,643.55 × 9,443.14
  4. Step 4: Simplify right side
    11,334.56x = 147,724,185.53
  5. Step 5: Solve for x
    x = 147,724,185.53/11,334.56
  6. Step 6: Final answer
    x = 13,033.08

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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.