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Finding the Fourth Proportional to 9,915.09, 13,682.91 and 5,438.81

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Solution

The fourth proportional to 9,915.09, 13,682.91 and 5,438.81 is: 7,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.09 : 13,682.91 = 5,438.81 : x
  2. Step 2: Convert to fraction form
    9,915.09/13,682.91 = 5,438.81/x
  3. Step 3: Cross multiply
    9,915.09x = 13,682.91 × 5,438.81
  4. Step 4: Simplify right side
    9,915.09x = 74,418,713.53
  5. Step 5: Solve for x
    x = 74,418,713.53/9,915.09
  6. Step 6: Final answer
    x = 7,505.60

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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.