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Finding the Fourth Proportional to 9,506.73, 14,266.23 and 5,127.24

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Solution

The fourth proportional to 9,506.73, 14,266.23 and 5,127.24 is: 7,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.73 : 14,266.23 = 5,127.24 : x
  2. Step 2: Convert to fraction form
    9,506.73/14,266.23 = 5,127.24/x
  3. Step 3: Cross multiply
    9,506.73x = 14,266.23 × 5,127.24
  4. Step 4: Simplify right side
    9,506.73x = 73,146,385.11
  5. Step 5: Solve for x
    x = 73,146,385.11/9,506.73
  6. Step 6: Final answer
    x = 7,694.17

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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.