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Finding the Fourth Proportional to 6,859.12, 9,465.60 and 4,064.80

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Solution

The fourth proportional to 6,859.12, 9,465.60 and 4,064.80 is: 5,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.12 : 9,465.60 = 4,064.80 : x
  2. Step 2: Convert to fraction form
    6,859.12/9,465.60 = 4,064.80/x
  3. Step 3: Cross multiply
    6,859.12x = 9,465.60 × 4,064.80
  4. Step 4: Simplify right side
    6,859.12x = 38,475,770.88
  5. Step 5: Solve for x
    x = 38,475,770.88/6,859.12
  6. Step 6: Final answer
    x = 5,609.43

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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.