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Finding the Fourth Proportional to 7,016.94, 9,683.13 and 4,221.90

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Solution

The fourth proportional to 7,016.94, 9,683.13 and 4,221.90 is: 5,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.94 : 9,683.13 = 4,221.90 : x
  2. Step 2: Convert to fraction form
    7,016.94/9,683.13 = 4,221.90/x
  3. Step 3: Cross multiply
    7,016.94x = 9,683.13 × 4,221.90
  4. Step 4: Simplify right side
    7,016.94x = 40,881,206.55
  5. Step 5: Solve for x
    x = 40,881,206.55/7,016.94
  6. Step 6: Final answer
    x = 5,826.07

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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.