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Finding the Fourth Proportional to 9,657.10, 13,327.65 and 5,879.35

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Solution

The fourth proportional to 9,657.10, 13,327.65 and 5,879.35 is: 8,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.10 : 13,327.65 = 5,879.35 : x
  2. Step 2: Convert to fraction form
    9,657.10/13,327.65 = 5,879.35/x
  3. Step 3: Cross multiply
    9,657.10x = 13,327.65 × 5,879.35
  4. Step 4: Simplify right side
    9,657.10x = 78,357,919.03
  5. Step 5: Solve for x
    x = 78,357,919.03/9,657.10
  6. Step 6: Final answer
    x = 8,114.02

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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.