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Finding the Fourth Proportional to 9,838.82, 13,576.01 and 5,531.06

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Solution

The fourth proportional to 9,838.82, 13,576.01 and 5,531.06 is: 7,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.82 : 13,576.01 = 5,531.06 : x
  2. Step 2: Convert to fraction form
    9,838.82/13,576.01 = 5,531.06/x
  3. Step 3: Cross multiply
    9,838.82x = 13,576.01 × 5,531.06
  4. Step 4: Simplify right side
    9,838.82x = 75,089,630.34
  5. Step 5: Solve for x
    x = 75,089,630.34/9,838.82
  6. Step 6: Final answer
    x = 7,631.98

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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.