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Finding the Fourth Proportional to 9,541.54, 13,167.32 and 5,815.54

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Solution

The fourth proportional to 9,541.54, 13,167.32 and 5,815.54 is: 8,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.54 : 13,167.32 = 5,815.54 : x
  2. Step 2: Convert to fraction form
    9,541.54/13,167.32 = 5,815.54/x
  3. Step 3: Cross multiply
    9,541.54x = 13,167.32 × 5,815.54
  4. Step 4: Simplify right side
    9,541.54x = 76,574,981.24
  5. Step 5: Solve for x
    x = 76,574,981.24/9,541.54
  6. Step 6: Final answer
    x = 8,025.44

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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.