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Finding the Fourth Proportional to 9,601.96, 13,254.42 and 7,506.76

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Solution

The fourth proportional to 9,601.96, 13,254.42 and 7,506.76 is: 10,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.96 : 13,254.42 = 7,506.76 : x
  2. Step 2: Convert to fraction form
    9,601.96/13,254.42 = 7,506.76/x
  3. Step 3: Cross multiply
    9,601.96x = 13,254.42 × 7,506.76
  4. Step 4: Simplify right side
    9,601.96x = 99,497,749.88
  5. Step 5: Solve for x
    x = 99,497,749.88/9,601.96
  6. Step 6: Final answer
    x = 10,362.23

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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.