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Finding the Fourth Proportional to 9,727.23, 14,498.31 and 9,173.60

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Solution

The fourth proportional to 9,727.23, 14,498.31 and 9,173.60 is: 13,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.23 : 14,498.31 = 9,173.60 : x
  2. Step 2: Convert to fraction form
    9,727.23/14,498.31 = 9,173.60/x
  3. Step 3: Cross multiply
    9,727.23x = 14,498.31 × 9,173.60
  4. Step 4: Simplify right side
    9,727.23x = 133,001,658.53
  5. Step 5: Solve for x
    x = 133,001,658.53/9,727.23
  6. Step 6: Final answer
    x = 13,673.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.