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Finding the Fourth Proportional to 9,915.14, 13,682.81 and 5,438.86

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Solution

The fourth proportional to 9,915.14, 13,682.81 and 5,438.86 is: 7,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.14 : 13,682.81 = 5,438.86 : x
  2. Step 2: Convert to fraction form
    9,915.14/13,682.81 = 5,438.86/x
  3. Step 3: Cross multiply
    9,915.14x = 13,682.81 × 5,438.86
  4. Step 4: Simplify right side
    9,915.14x = 74,418,878.98
  5. Step 5: Solve for x
    x = 74,418,878.98/9,915.14
  6. Step 6: Final answer
    x = 7,505.58

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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.