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Finding the Fourth Proportional to 6,820.50, 9,409.59 and 4,301.67

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Solution

The fourth proportional to 6,820.50, 9,409.59 and 4,301.67 is: 5,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.50 : 9,409.59 = 4,301.67 : x
  2. Step 2: Convert to fraction form
    6,820.50/9,409.59 = 4,301.67/x
  3. Step 3: Cross multiply
    6,820.50x = 9,409.59 × 4,301.67
  4. Step 4: Simplify right side
    6,820.50x = 40,476,951.02
  5. Step 5: Solve for x
    x = 40,476,951.02/6,820.50
  6. Step 6: Final answer
    x = 5,934.60

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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.