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Finding the Fourth Proportional to 6,309.17, 9,465.50 and 5,620.60

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Solution

The fourth proportional to 6,309.17, 9,465.50 and 5,620.60 is: 8,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.17 : 9,465.50 = 5,620.60 : x
  2. Step 2: Convert to fraction form
    6,309.17/9,465.50 = 5,620.60/x
  3. Step 3: Cross multiply
    6,309.17x = 9,465.50 × 5,620.60
  4. Step 4: Simplify right side
    6,309.17x = 53,201,779.69
  5. Step 5: Solve for x
    x = 53,201,779.69/6,309.17
  6. Step 6: Final answer
    x = 8,432.46

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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.