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Finding the Fourth Proportional to 7,028.64, 9,690.62 and 4,506.21

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Solution

The fourth proportional to 7,028.64, 9,690.62 and 4,506.21 is: 6,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.64 : 9,690.62 = 4,506.21 : x
  2. Step 2: Convert to fraction form
    7,028.64/9,690.62 = 4,506.21/x
  3. Step 3: Cross multiply
    7,028.64x = 9,690.62 × 4,506.21
  4. Step 4: Simplify right side
    7,028.64x = 43,667,946.22
  5. Step 5: Solve for x
    x = 43,667,946.22/7,028.64
  6. Step 6: Final answer
    x = 6,212.86

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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.