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Finding the Fourth Proportional to 7,119.46, 9,823.98 and 3,975.58

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Solution

The fourth proportional to 7,119.46, 9,823.98 and 3,975.58 is: 5,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.46 : 9,823.98 = 3,975.58 : x
  2. Step 2: Convert to fraction form
    7,119.46/9,823.98 = 3,975.58/x
  3. Step 3: Cross multiply
    7,119.46x = 9,823.98 × 3,975.58
  4. Step 4: Simplify right side
    7,119.46x = 39,056,018.41
  5. Step 5: Solve for x
    x = 39,056,018.41/7,119.46
  6. Step 6: Final answer
    x = 5,485.81

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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.