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Finding the Fourth Proportional to 7,015.68, 9,683.64 and 4,361.76

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Solution

The fourth proportional to 7,015.68, 9,683.64 and 4,361.76 is: 6,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.68 : 9,683.64 = 4,361.76 : x
  2. Step 2: Convert to fraction form
    7,015.68/9,683.64 = 4,361.76/x
  3. Step 3: Cross multiply
    7,015.68x = 9,683.64 × 4,361.76
  4. Step 4: Simplify right side
    7,015.68x = 42,237,713.61
  5. Step 5: Solve for x
    x = 42,237,713.61/7,015.68
  6. Step 6: Final answer
    x = 6,020.47

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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.