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Finding the Fourth Proportional to 6,328.40, 8,724.63 and 4,737.38

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Solution

The fourth proportional to 6,328.40, 8,724.63 and 4,737.38 is: 6,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.40 : 8,724.63 = 4,737.38 : x
  2. Step 2: Convert to fraction form
    6,328.40/8,724.63 = 4,737.38/x
  3. Step 3: Cross multiply
    6,328.40x = 8,724.63 × 4,737.38
  4. Step 4: Simplify right side
    6,328.40x = 41,331,887.67
  5. Step 5: Solve for x
    x = 41,331,887.67/6,328.40
  6. Step 6: Final answer
    x = 6,531.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.