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Finding the Fourth Proportional to 9,607.82, 13,260.92 and 6,070.34

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Solution

The fourth proportional to 9,607.82, 13,260.92 and 6,070.34 is: 8,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.82 : 13,260.92 = 6,070.34 : x
  2. Step 2: Convert to fraction form
    9,607.82/13,260.92 = 6,070.34/x
  3. Step 3: Cross multiply
    9,607.82x = 13,260.92 × 6,070.34
  4. Step 4: Simplify right side
    9,607.82x = 80,498,295.91
  5. Step 5: Solve for x
    x = 80,498,295.91/9,607.82
  6. Step 6: Final answer
    x = 8,378.42

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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.