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Finding the Fourth Proportional to 9,716.88, 14,555.44 and 4,771.02

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Solution

The fourth proportional to 9,716.88, 14,555.44 and 4,771.02 is: 7,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.88 : 14,555.44 = 4,771.02 : x
  2. Step 2: Convert to fraction form
    9,716.88/14,555.44 = 4,771.02/x
  3. Step 3: Cross multiply
    9,716.88x = 14,555.44 × 4,771.02
  4. Step 4: Simplify right side
    9,716.88x = 69,444,295.35
  5. Step 5: Solve for x
    x = 69,444,295.35/9,716.88
  6. Step 6: Final answer
    x = 7,146.77

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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.