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Finding the Fourth Proportional to 9,732.54, 13,431 and 5,541.06

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Solution

The fourth proportional to 9,732.54, 13,431 and 5,541.06 is: 7,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.54 : 13,431 = 5,541.06 : x
  2. Step 2: Convert to fraction form
    9,732.54/13,431 = 5,541.06/x
  3. Step 3: Cross multiply
    9,732.54x = 13,431 × 5,541.06
  4. Step 4: Simplify right side
    9,732.54x = 74,421,976.86
  5. Step 5: Solve for x
    x = 74,421,976.86/9,732.54
  6. Step 6: Final answer
    x = 7,646.72

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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.