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Finding the Fourth Proportional to 9,838.46, 13,576.28 and 5,858.80

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Solution

The fourth proportional to 9,838.46, 13,576.28 and 5,858.80 is: 8,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.46 : 13,576.28 = 5,858.80 : x
  2. Step 2: Convert to fraction form
    9,838.46/13,576.28 = 5,858.80/x
  3. Step 3: Cross multiply
    9,838.46x = 13,576.28 × 5,858.80
  4. Step 4: Simplify right side
    9,838.46x = 79,540,646.03
  5. Step 5: Solve for x
    x = 79,540,646.03/9,838.46
  6. Step 6: Final answer
    x = 8,084.66

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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.