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Finding the Fourth Proportional to 6,209.60, 9,307.20 and 2,509.40

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Solution

The fourth proportional to 6,209.60, 9,307.20 and 2,509.40 is: 3,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.60 : 9,307.20 = 2,509.40 : x
  2. Step 2: Convert to fraction form
    6,209.60/9,307.20 = 2,509.40/x
  3. Step 3: Cross multiply
    6,209.60x = 9,307.20 × 2,509.40
  4. Step 4: Simplify right side
    6,209.60x = 23,355,487.68
  5. Step 5: Solve for x
    x = 23,355,487.68/6,209.60
  6. Step 6: Final answer
    x = 3,761.19

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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.