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Finding the Fourth Proportional to 9,650.59, 13,311.75 and 7,409.05

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Solution

The fourth proportional to 9,650.59, 13,311.75 and 7,409.05 is: 10,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.59 : 13,311.75 = 7,409.05 : x
  2. Step 2: Convert to fraction form
    9,650.59/13,311.75 = 7,409.05/x
  3. Step 3: Cross multiply
    9,650.59x = 13,311.75 × 7,409.05
  4. Step 4: Simplify right side
    9,650.59x = 98,627,421.34
  5. Step 5: Solve for x
    x = 98,627,421.34/9,650.59
  6. Step 6: Final answer
    x = 10,219.83

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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.