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Finding the Fourth Proportional to 6,394.80, 9,594.96 and 4,641.74

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Solution

The fourth proportional to 6,394.80, 9,594.96 and 4,641.74 is: 6,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.80 : 9,594.96 = 4,641.74 : x
  2. Step 2: Convert to fraction form
    6,394.80/9,594.96 = 4,641.74/x
  3. Step 3: Cross multiply
    6,394.80x = 9,594.96 × 4,641.74
  4. Step 4: Simplify right side
    6,394.80x = 44,537,309.63
  5. Step 5: Solve for x
    x = 44,537,309.63/6,394.80
  6. Step 6: Final answer
    x = 6,964.61

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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.