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Finding the Fourth Proportional to 6,502.41, 9,737.15 and 4,665.33

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Solution

The fourth proportional to 6,502.41, 9,737.15 and 4,665.33 is: 6,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.41 : 9,737.15 = 4,665.33 : x
  2. Step 2: Convert to fraction form
    6,502.41/9,737.15 = 4,665.33/x
  3. Step 3: Cross multiply
    6,502.41x = 9,737.15 × 4,665.33
  4. Step 4: Simplify right side
    6,502.41x = 45,426,994.68
  5. Step 5: Solve for x
    x = 45,426,994.68/6,502.41
  6. Step 6: Final answer
    x = 6,986.18

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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.