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Finding the Fourth Proportional to 6,681.86, 9,222.96 and 4,324.16

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Solution

The fourth proportional to 6,681.86, 9,222.96 and 4,324.16 is: 5,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.86 : 9,222.96 = 4,324.16 : x
  2. Step 2: Convert to fraction form
    6,681.86/9,222.96 = 4,324.16/x
  3. Step 3: Cross multiply
    6,681.86x = 9,222.96 × 4,324.16
  4. Step 4: Simplify right side
    6,681.86x = 39,881,508.60
  5. Step 5: Solve for x
    x = 39,881,508.60/6,681.86
  6. Step 6: Final answer
    x = 5,968.63

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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.