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Finding the Fourth Proportional to 9,545.72, 14,304.74 and 6,777.81

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Solution

The fourth proportional to 9,545.72, 14,304.74 and 6,777.81 is: 10,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.72 : 14,304.74 = 6,777.81 : x
  2. Step 2: Convert to fraction form
    9,545.72/14,304.74 = 6,777.81/x
  3. Step 3: Cross multiply
    9,545.72x = 14,304.74 × 6,777.81
  4. Step 4: Simplify right side
    9,545.72x = 96,954,775.93
  5. Step 5: Solve for x
    x = 96,954,775.93/9,545.72
  6. Step 6: Final answer
    x = 10,156.89

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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.