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Finding the Fourth Proportional to 7,029.25, 9,700.37 and 3,885.64

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Solution

The fourth proportional to 7,029.25, 9,700.37 and 3,885.64 is: 5,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.25 : 9,700.37 = 3,885.64 : x
  2. Step 2: Convert to fraction form
    7,029.25/9,700.37 = 3,885.64/x
  3. Step 3: Cross multiply
    7,029.25x = 9,700.37 × 3,885.64
  4. Step 4: Simplify right side
    7,029.25x = 37,692,145.69
  5. Step 5: Solve for x
    x = 37,692,145.69/7,029.25
  6. Step 6: Final answer
    x = 5,362.19

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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.