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Finding the Fourth Proportional to 9,666.98, 14,506.23 and 3,511.46

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Solution

The fourth proportional to 9,666.98, 14,506.23 and 3,511.46 is: 5,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.98 : 14,506.23 = 3,511.46 : x
  2. Step 2: Convert to fraction form
    9,666.98/14,506.23 = 3,511.46/x
  3. Step 3: Cross multiply
    9,666.98x = 14,506.23 × 3,511.46
  4. Step 4: Simplify right side
    9,666.98x = 50,938,046.40
  5. Step 5: Solve for x
    x = 50,938,046.40/9,666.98
  6. Step 6: Final answer
    x = 5,269.28

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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.