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Finding the Fourth Proportional to 6,436.82, 9,658.48 and 2,976.50

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Solution

The fourth proportional to 6,436.82, 9,658.48 and 2,976.50 is: 4,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.82 : 9,658.48 = 2,976.50 : x
  2. Step 2: Convert to fraction form
    6,436.82/9,658.48 = 2,976.50/x
  3. Step 3: Cross multiply
    6,436.82x = 9,658.48 × 2,976.50
  4. Step 4: Simplify right side
    6,436.82x = 28,748,465.72
  5. Step 5: Solve for x
    x = 28,748,465.72/6,436.82
  6. Step 6: Final answer
    x = 4,466.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.