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Finding the Fourth Proportional to 9,526.56, 13,147.63 and 5,493.54

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Solution

The fourth proportional to 9,526.56, 13,147.63 and 5,493.54 is: 7,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.56 : 13,147.63 = 5,493.54 : x
  2. Step 2: Convert to fraction form
    9,526.56/13,147.63 = 5,493.54/x
  3. Step 3: Cross multiply
    9,526.56x = 13,147.63 × 5,493.54
  4. Step 4: Simplify right side
    9,526.56x = 72,227,049.18
  5. Step 5: Solve for x
    x = 72,227,049.18/9,526.56
  6. Step 6: Final answer
    x = 7,581.65

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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.