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Finding the Fourth Proportional to 6,734.58, 9,283.98 and 4,462.12

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Solution

The fourth proportional to 6,734.58, 9,283.98 and 4,462.12 is: 6,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.58 : 9,283.98 = 4,462.12 : x
  2. Step 2: Convert to fraction form
    6,734.58/9,283.98 = 4,462.12/x
  3. Step 3: Cross multiply
    6,734.58x = 9,283.98 × 4,462.12
  4. Step 4: Simplify right side
    6,734.58x = 41,426,232.84
  5. Step 5: Solve for x
    x = 41,426,232.84/6,734.58
  6. Step 6: Final answer
    x = 6,151.27

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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.