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Finding the Fourth Proportional to 6,814.44, 9,407.12 and 4,577.89

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Solution

The fourth proportional to 6,814.44, 9,407.12 and 4,577.89 is: 6,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.44 : 9,407.12 = 4,577.89 : x
  2. Step 2: Convert to fraction form
    6,814.44/9,407.12 = 4,577.89/x
  3. Step 3: Cross multiply
    6,814.44x = 9,407.12 × 4,577.89
  4. Step 4: Simplify right side
    6,814.44x = 43,064,760.58
  5. Step 5: Solve for x
    x = 43,064,760.58/6,814.44
  6. Step 6: Final answer
    x = 6,319.63

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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.