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Finding the Fourth Proportional to 6,512.60, 9,783.30 and 6,267.80

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Solution

The fourth proportional to 6,512.60, 9,783.30 and 6,267.80 is: 9,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.60 : 9,783.30 = 6,267.80 : x
  2. Step 2: Convert to fraction form
    6,512.60/9,783.30 = 6,267.80/x
  3. Step 3: Cross multiply
    6,512.60x = 9,783.30 × 6,267.80
  4. Step 4: Simplify right side
    6,512.60x = 61,319,767.74
  5. Step 5: Solve for x
    x = 61,319,767.74/6,512.60
  6. Step 6: Final answer
    x = 9,415.56

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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.