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Finding the Fourth Proportional to 6,829.77, 9,427.08 and 4,472.07

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Solution

The fourth proportional to 6,829.77, 9,427.08 and 4,472.07 is: 6,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.77 : 9,427.08 = 4,472.07 : x
  2. Step 2: Convert to fraction form
    6,829.77/9,427.08 = 4,472.07/x
  3. Step 3: Cross multiply
    6,829.77x = 9,427.08 × 4,472.07
  4. Step 4: Simplify right side
    6,829.77x = 42,158,561.66
  5. Step 5: Solve for x
    x = 42,158,561.66/6,829.77
  6. Step 6: Final answer
    x = 6,172.76

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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.