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Finding the Fourth Proportional to 9,076.62, 12,527.09 and 5,541.88

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Solution

The fourth proportional to 9,076.62, 12,527.09 and 5,541.88 is: 7,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.62 : 12,527.09 = 5,541.88 : x
  2. Step 2: Convert to fraction form
    9,076.62/12,527.09 = 5,541.88/x
  3. Step 3: Cross multiply
    9,076.62x = 12,527.09 × 5,541.88
  4. Step 4: Simplify right side
    9,076.62x = 69,423,629.53
  5. Step 5: Solve for x
    x = 69,423,629.53/9,076.62
  6. Step 6: Final answer
    x = 7,648.62

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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.