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Finding the Fourth Proportional to 7,050.76, 9,729.98 and 3,906.93

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Solution

The fourth proportional to 7,050.76, 9,729.98 and 3,906.93 is: 5,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.76 : 9,729.98 = 3,906.93 : x
  2. Step 2: Convert to fraction form
    7,050.76/9,729.98 = 3,906.93/x
  3. Step 3: Cross multiply
    7,050.76x = 9,729.98 × 3,906.93
  4. Step 4: Simplify right side
    7,050.76x = 38,014,282.58
  5. Step 5: Solve for x
    x = 38,014,282.58/7,050.76
  6. Step 6: Final answer
    x = 5,391.52

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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.