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Finding the Fourth Proportional to 9,461.98, 14,188.11 and 5,083.12

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Solution

The fourth proportional to 9,461.98, 14,188.11 and 5,083.12 is: 7,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.98 : 14,188.11 = 5,083.12 : x
  2. Step 2: Convert to fraction form
    9,461.98/14,188.11 = 5,083.12/x
  3. Step 3: Cross multiply
    9,461.98x = 14,188.11 × 5,083.12
  4. Step 4: Simplify right side
    9,461.98x = 72,119,865.70
  5. Step 5: Solve for x
    x = 72,119,865.70/9,461.98
  6. Step 6: Final answer
    x = 7,622.07

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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.