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Finding the Fourth Proportional to 9,915.01, 13,682.70 and 5,438.83

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Solution

The fourth proportional to 9,915.01, 13,682.70 and 5,438.83 is: 7,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.01 : 13,682.70 = 5,438.83 : x
  2. Step 2: Convert to fraction form
    9,915.01/13,682.70 = 5,438.83/x
  3. Step 3: Cross multiply
    9,915.01x = 13,682.70 × 5,438.83
  4. Step 4: Simplify right side
    9,915.01x = 74,417,879.24
  5. Step 5: Solve for x
    x = 74,417,879.24/9,915.01
  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.