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Finding the Fourth Proportional to 9,461.70, 13,057.14 and 5,269.95

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Solution

The fourth proportional to 9,461.70, 13,057.14 and 5,269.95 is: 7,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.70 : 13,057.14 = 5,269.95 : x
  2. Step 2: Convert to fraction form
    9,461.70/13,057.14 = 5,269.95/x
  3. Step 3: Cross multiply
    9,461.70x = 13,057.14 × 5,269.95
  4. Step 4: Simplify right side
    9,461.70x = 68,810,474.94
  5. Step 5: Solve for x
    x = 68,810,474.94/9,461.70
  6. Step 6: Final answer
    x = 7,272.53

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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.