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Finding the Fourth Proportional to 9,608.96, 13,259.85 and 5,416.94

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Solution

The fourth proportional to 9,608.96, 13,259.85 and 5,416.94 is: 7,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.96 : 13,259.85 = 5,416.94 : x
  2. Step 2: Convert to fraction form
    9,608.96/13,259.85 = 5,416.94/x
  3. Step 3: Cross multiply
    9,608.96x = 13,259.85 × 5,416.94
  4. Step 4: Simplify right side
    9,608.96x = 71,827,811.86
  5. Step 5: Solve for x
    x = 71,827,811.86/9,608.96
  6. Step 6: Final answer
    x = 7,475.09

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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.