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Finding the Fourth Proportional to 9,523.72, 13,141.61 and 5,490.50

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Solution

The fourth proportional to 9,523.72, 13,141.61 and 5,490.50 is: 7,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.72 : 13,141.61 = 5,490.50 : x
  2. Step 2: Convert to fraction form
    9,523.72/13,141.61 = 5,490.50/x
  3. Step 3: Cross multiply
    9,523.72x = 13,141.61 × 5,490.50
  4. Step 4: Simplify right side
    9,523.72x = 72,154,011.06
  5. Step 5: Solve for x
    x = 72,154,011.06/9,523.72
  6. Step 6: Final answer
    x = 7,576.24

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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.