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Finding the Fourth Proportional to 9,126.83, 13,705.83 and 5,451.86

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Solution

The fourth proportional to 9,126.83, 13,705.83 and 5,451.86 is: 8,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.83 : 13,705.83 = 5,451.86 : x
  2. Step 2: Convert to fraction form
    9,126.83/13,705.83 = 5,451.86/x
  3. Step 3: Cross multiply
    9,126.83x = 13,705.83 × 5,451.86
  4. Step 4: Simplify right side
    9,126.83x = 74,722,266.34
  5. Step 5: Solve for x
    x = 74,722,266.34/9,126.83
  6. Step 6: Final answer
    x = 8,187.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.