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Finding the Fourth Proportional to 9,516.05, 13,132 and 5,324.30

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Solution

The fourth proportional to 9,516.05, 13,132 and 5,324.30 is: 7,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.05 : 13,132 = 5,324.30 : x
  2. Step 2: Convert to fraction form
    9,516.05/13,132 = 5,324.30/x
  3. Step 3: Cross multiply
    9,516.05x = 13,132 × 5,324.30
  4. Step 4: Simplify right side
    9,516.05x = 69,918,707.60
  5. Step 5: Solve for x
    x = 69,918,707.60/9,516.05
  6. Step 6: Final answer
    x = 7,347.45

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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.