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Finding the Fourth Proportional to 9,915.48, 13,683.74 and 5,439.42

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Solution

The fourth proportional to 9,915.48, 13,683.74 and 5,439.42 is: 7,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.48 : 13,683.74 = 5,439.42 : x
  2. Step 2: Convert to fraction form
    9,915.48/13,683.74 = 5,439.42/x
  3. Step 3: Cross multiply
    9,915.48x = 13,683.74 × 5,439.42
  4. Step 4: Simplify right side
    9,915.48x = 74,431,609.03
  5. Step 5: Solve for x
    x = 74,431,609.03/9,915.48
  6. Step 6: Final answer
    x = 7,506.61

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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.