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Finding the Fourth Proportional to 6,725.83, 9,284.22 and 4,486.87

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Solution

The fourth proportional to 6,725.83, 9,284.22 and 4,486.87 is: 6,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.83 : 9,284.22 = 4,486.87 : x
  2. Step 2: Convert to fraction form
    6,725.83/9,284.22 = 4,486.87/x
  3. Step 3: Cross multiply
    6,725.83x = 9,284.22 × 4,486.87
  4. Step 4: Simplify right side
    6,725.83x = 41,657,088.19
  5. Step 5: Solve for x
    x = 41,657,088.19/6,725.83
  6. Step 6: Final answer
    x = 6,193.60

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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.