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Finding the Fourth Proportional to 6,422.69, 9,570.54 and 5,768.60

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Solution

The fourth proportional to 6,422.69, 9,570.54 and 5,768.60 is: 8,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.69 : 9,570.54 = 5,768.60 : x
  2. Step 2: Convert to fraction form
    6,422.69/9,570.54 = 5,768.60/x
  3. Step 3: Cross multiply
    6,422.69x = 9,570.54 × 5,768.60
  4. Step 4: Simplify right side
    6,422.69x = 55,208,588.20
  5. Step 5: Solve for x
    x = 55,208,588.20/6,422.69
  6. Step 6: Final answer
    x = 8,595.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.