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Finding the Fourth Proportional to 6,838.67, 10,204.32 and 6,420.71

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Solution

The fourth proportional to 6,838.67, 10,204.32 and 6,420.71 is: 9,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.67 : 10,204.32 = 6,420.71 : x
  2. Step 2: Convert to fraction form
    6,838.67/10,204.32 = 6,420.71/x
  3. Step 3: Cross multiply
    6,838.67x = 10,204.32 × 6,420.71
  4. Step 4: Simplify right side
    6,838.67x = 65,518,979.47
  5. Step 5: Solve for x
    x = 65,518,979.47/6,838.67
  6. Step 6: Final answer
    x = 9,580.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.