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Finding the Fourth Proportional to 7,020.12, 9,683.82 and 4,463.16

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Solution

The fourth proportional to 7,020.12, 9,683.82 and 4,463.16 is: 6,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.12 : 9,683.82 = 4,463.16 : x
  2. Step 2: Convert to fraction form
    7,020.12/9,683.82 = 4,463.16/x
  3. Step 3: Cross multiply
    7,020.12x = 9,683.82 × 4,463.16
  4. Step 4: Simplify right side
    7,020.12x = 43,220,438.07
  5. Step 5: Solve for x
    x = 43,220,438.07/7,020.12
  6. Step 6: Final answer
    x = 6,156.65

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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.