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Finding the Fourth Proportional to 6,435.08, 9,700.86 and 6,006.44

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Solution

The fourth proportional to 6,435.08, 9,700.86 and 6,006.44 is: 9,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.08 : 9,700.86 = 6,006.44 : x
  2. Step 2: Convert to fraction form
    6,435.08/9,700.86 = 6,006.44/x
  3. Step 3: Cross multiply
    6,435.08x = 9,700.86 × 6,006.44
  4. Step 4: Simplify right side
    6,435.08x = 58,267,633.54
  5. Step 5: Solve for x
    x = 58,267,633.54/6,435.08
  6. Step 6: Final answer
    x = 9,054.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.