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Finding the Fourth Proportional to 6,681.72, 9,973.59 and 6,201.24

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Solution

The fourth proportional to 6,681.72, 9,973.59 and 6,201.24 is: 9,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.72 : 9,973.59 = 6,201.24 : x
  2. Step 2: Convert to fraction form
    6,681.72/9,973.59 = 6,201.24/x
  3. Step 3: Cross multiply
    6,681.72x = 9,973.59 × 6,201.24
  4. Step 4: Simplify right side
    6,681.72x = 61,848,625.25
  5. Step 5: Solve for x
    x = 61,848,625.25/6,681.72
  6. Step 6: Final answer
    x = 9,256.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.