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Finding the Fourth Proportional to 7,050.64, 9,729.48 and 3,906.64

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Solution

The fourth proportional to 7,050.64, 9,729.48 and 3,906.64 is: 5,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.64 : 9,729.48 = 3,906.64 : x
  2. Step 2: Convert to fraction form
    7,050.64/9,729.48 = 3,906.64/x
  3. Step 3: Cross multiply
    7,050.64x = 9,729.48 × 3,906.64
  4. Step 4: Simplify right side
    7,050.64x = 38,009,575.75
  5. Step 5: Solve for x
    x = 38,009,575.75/7,050.64
  6. Step 6: Final answer
    x = 5,390.94

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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.