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Finding the Fourth Proportional to 6,309.80, 8,698.34 and 4,415.61

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Solution

The fourth proportional to 6,309.80, 8,698.34 and 4,415.61 is: 6,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.80 : 8,698.34 = 4,415.61 : x
  2. Step 2: Convert to fraction form
    6,309.80/8,698.34 = 4,415.61/x
  3. Step 3: Cross multiply
    6,309.80x = 8,698.34 × 4,415.61
  4. Step 4: Simplify right side
    6,309.80x = 38,408,495.91
  5. Step 5: Solve for x
    x = 38,408,495.91/6,309.80
  6. Step 6: Final answer
    x = 6,087.12

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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.