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Finding the Fourth Proportional to 7,055.21, 9,735.66 and 3,868

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Solution

The fourth proportional to 7,055.21, 9,735.66 and 3,868 is: 5,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.21 : 9,735.66 = 3,868 : x
  2. Step 2: Convert to fraction form
    7,055.21/9,735.66 = 3,868/x
  3. Step 3: Cross multiply
    7,055.21x = 9,735.66 × 3,868
  4. Step 4: Simplify right side
    7,055.21x = 37,657,532.88
  5. Step 5: Solve for x
    x = 37,657,532.88/7,055.21
  6. Step 6: Final answer
    x = 5,337.55

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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.