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Finding the Fourth Proportional to 9,673.23, 14,509.84 and 7,737.73

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Solution

The fourth proportional to 9,673.23, 14,509.84 and 7,737.73 is: 11,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.23 : 14,509.84 = 7,737.73 : x
  2. Step 2: Convert to fraction form
    9,673.23/14,509.84 = 7,737.73/x
  3. Step 3: Cross multiply
    9,673.23x = 14,509.84 × 7,737.73
  4. Step 4: Simplify right side
    9,673.23x = 112,273,252.07
  5. Step 5: Solve for x
    x = 112,273,252.07/9,673.23
  6. Step 6: Final answer
    x = 11,606.60

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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.