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Finding the Fourth Proportional to 6,681.53, 9,214.66 and 4,321.37

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Solution

The fourth proportional to 6,681.53, 9,214.66 and 4,321.37 is: 5,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.53 : 9,214.66 = 4,321.37 : x
  2. Step 2: Convert to fraction form
    6,681.53/9,214.66 = 4,321.37/x
  3. Step 3: Cross multiply
    6,681.53x = 9,214.66 × 4,321.37
  4. Step 4: Simplify right side
    6,681.53x = 39,819,955.28
  5. Step 5: Solve for x
    x = 39,819,955.28/6,681.53
  6. Step 6: Final answer
    x = 5,959.71

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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.