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Finding the Fourth Proportional to 7,073.68, 9,762.60 and 4,837.84

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Solution

The fourth proportional to 7,073.68, 9,762.60 and 4,837.84 is: 6,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.68 : 9,762.60 = 4,837.84 : x
  2. Step 2: Convert to fraction form
    7,073.68/9,762.60 = 4,837.84/x
  3. Step 3: Cross multiply
    7,073.68x = 9,762.60 × 4,837.84
  4. Step 4: Simplify right side
    7,073.68x = 47,229,896.78
  5. Step 5: Solve for x
    x = 47,229,896.78/7,073.68
  6. Step 6: Final answer
    x = 6,676.85

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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.