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Finding the Fourth Proportional to 9,527.31, 13,146.44 and 5,494.29

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Solution

The fourth proportional to 9,527.31, 13,146.44 and 5,494.29 is: 7,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.31 : 13,146.44 = 5,494.29 : x
  2. Step 2: Convert to fraction form
    9,527.31/13,146.44 = 5,494.29/x
  3. Step 3: Cross multiply
    9,527.31x = 13,146.44 × 5,494.29
  4. Step 4: Simplify right side
    9,527.31x = 72,230,353.83
  5. Step 5: Solve for x
    x = 72,230,353.83/9,527.31
  6. Step 6: Final answer
    x = 7,581.40

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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.