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Finding the Fourth Proportional to 9,541.16, 13,166.90 and 5,564.68

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Solution

The fourth proportional to 9,541.16, 13,166.90 and 5,564.68 is: 7,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.16 : 13,166.90 = 5,564.68 : x
  2. Step 2: Convert to fraction form
    9,541.16/13,166.90 = 5,564.68/x
  3. Step 3: Cross multiply
    9,541.16x = 13,166.90 × 5,564.68
  4. Step 4: Simplify right side
    9,541.16x = 73,269,585.09
  5. Step 5: Solve for x
    x = 73,269,585.09/9,541.16
  6. Step 6: Final answer
    x = 7,679.32

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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.