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Finding the Fourth Proportional to 9,737.06, 14,605.79 and 3,497.48

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Solution

The fourth proportional to 9,737.06, 14,605.79 and 3,497.48 is: 5,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.06 : 14,605.79 = 3,497.48 : x
  2. Step 2: Convert to fraction form
    9,737.06/14,605.79 = 3,497.48/x
  3. Step 3: Cross multiply
    9,737.06x = 14,605.79 × 3,497.48
  4. Step 4: Simplify right side
    9,737.06x = 51,083,367.89
  5. Step 5: Solve for x
    x = 51,083,367.89/9,737.06
  6. Step 6: Final answer
    x = 5,246.29

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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.