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Finding the Fourth Proportional to 9,616.98, 14,431.23 and 3,461.46

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Solution

The fourth proportional to 9,616.98, 14,431.23 and 3,461.46 is: 5,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.98 : 14,431.23 = 3,461.46 : x
  2. Step 2: Convert to fraction form
    9,616.98/14,431.23 = 3,461.46/x
  3. Step 3: Cross multiply
    9,616.98x = 14,431.23 × 3,461.46
  4. Step 4: Simplify right side
    9,616.98x = 49,953,125.40
  5. Step 5: Solve for x
    x = 49,953,125.40/9,616.98
  6. Step 6: Final answer
    x = 5,194.26

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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.