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Finding the Fourth Proportional to 9,076.14, 13,615.50 and 4,916.70

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Solution

The fourth proportional to 9,076.14, 13,615.50 and 4,916.70 is: 7,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.14 : 13,615.50 = 4,916.70 : x
  2. Step 2: Convert to fraction form
    9,076.14/13,615.50 = 4,916.70/x
  3. Step 3: Cross multiply
    9,076.14x = 13,615.50 × 4,916.70
  4. Step 4: Simplify right side
    9,076.14x = 66,943,328.85
  5. Step 5: Solve for x
    x = 66,943,328.85/9,076.14
  6. Step 6: Final answer
    x = 7,375.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.