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Finding the Fourth Proportional to 9,672.81, 13,344.64 and 6,314.55

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Solution

The fourth proportional to 9,672.81, 13,344.64 and 6,314.55 is: 8,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.81 : 13,344.64 = 6,314.55 : x
  2. Step 2: Convert to fraction form
    9,672.81/13,344.64 = 6,314.55/x
  3. Step 3: Cross multiply
    9,672.81x = 13,344.64 × 6,314.55
  4. Step 4: Simplify right side
    9,672.81x = 84,265,396.51
  5. Step 5: Solve for x
    x = 84,265,396.51/9,672.81
  6. Step 6: Final answer
    x = 8,711.57

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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.