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Finding the Fourth Proportional to 6,350.09, 8,765.58 and 5,685.80

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Solution

The fourth proportional to 6,350.09, 8,765.58 and 5,685.80 is: 7,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.09 : 8,765.58 = 5,685.80 : x
  2. Step 2: Convert to fraction form
    6,350.09/8,765.58 = 5,685.80/x
  3. Step 3: Cross multiply
    6,350.09x = 8,765.58 × 5,685.80
  4. Step 4: Simplify right side
    6,350.09x = 49,839,334.76
  5. Step 5: Solve for x
    x = 49,839,334.76/6,350.09
  6. Step 6: Final answer
    x = 7,848.60

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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.