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Finding the Fourth Proportional to 9,773.56, 14,644.96 and 7,557.80

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Solution

The fourth proportional to 9,773.56, 14,644.96 and 7,557.80 is: 11,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.56 : 14,644.96 = 7,557.80 : x
  2. Step 2: Convert to fraction form
    9,773.56/14,644.96 = 7,557.80/x
  3. Step 3: Cross multiply
    9,773.56x = 14,644.96 × 7,557.80
  4. Step 4: Simplify right side
    9,773.56x = 110,683,678.69
  5. Step 5: Solve for x
    x = 110,683,678.69/9,773.56
  6. Step 6: Final answer
    x = 11,324.81

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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.