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Finding the Fourth Proportional to 7,054.41, 9,732.51 and 4,221.87

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Solution

The fourth proportional to 7,054.41, 9,732.51 and 4,221.87 is: 5,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.41 : 9,732.51 = 4,221.87 : x
  2. Step 2: Convert to fraction form
    7,054.41/9,732.51 = 4,221.87/x
  3. Step 3: Cross multiply
    7,054.41x = 9,732.51 × 4,221.87
  4. Step 4: Simplify right side
    7,054.41x = 41,089,391.99
  5. Step 5: Solve for x
    x = 41,089,391.99/7,054.41
  6. Step 6: Final answer
    x = 5,824.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.