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Finding the Fourth Proportional to 6,196.64, 8,554.68 and 4,777.22

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Solution

The fourth proportional to 6,196.64, 8,554.68 and 4,777.22 is: 6,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.64 : 8,554.68 = 4,777.22 : x
  2. Step 2: Convert to fraction form
    6,196.64/8,554.68 = 4,777.22/x
  3. Step 3: Cross multiply
    6,196.64x = 8,554.68 × 4,777.22
  4. Step 4: Simplify right side
    6,196.64x = 40,867,588.39
  5. Step 5: Solve for x
    x = 40,867,588.39/6,196.64
  6. Step 6: Final answer
    x = 6,595.12

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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.