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Finding the Fourth Proportional to 6,000.98, 8,276.88 and 4,407.14

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Solution

The fourth proportional to 6,000.98, 8,276.88 and 4,407.14 is: 6,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.98 : 8,276.88 = 4,407.14 : x
  2. Step 2: Convert to fraction form
    6,000.98/8,276.88 = 4,407.14/x
  3. Step 3: Cross multiply
    6,000.98x = 8,276.88 × 4,407.14
  4. Step 4: Simplify right side
    6,000.98x = 36,477,327.54
  5. Step 5: Solve for x
    x = 36,477,327.54/6,000.98
  6. Step 6: Final answer
    x = 6,078.56

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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.