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Finding the Fourth Proportional to 9,771.14, 14,644.66 and 5,557.92

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Solution

The fourth proportional to 9,771.14, 14,644.66 and 5,557.92 is: 8,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.14 : 14,644.66 = 5,557.92 : x
  2. Step 2: Convert to fraction form
    9,771.14/14,644.66 = 5,557.92/x
  3. Step 3: Cross multiply
    9,771.14x = 14,644.66 × 5,557.92
  4. Step 4: Simplify right side
    9,771.14x = 81,393,862.60
  5. Step 5: Solve for x
    x = 81,393,862.60/9,771.14
  6. Step 6: Final answer
    x = 8,330.03

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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.