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Finding the Fourth Proportional to 9,164, 12,646.32 and 4,972.25

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Solution

The fourth proportional to 9,164, 12,646.32 and 4,972.25 is: 6,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 12,646.32 = 4,972.25 : x
  2. Step 2: Convert to fraction form
    9,164/12,646.32 = 4,972.25/x
  3. Step 3: Cross multiply
    9,164x = 12,646.32 × 4,972.25
  4. Step 4: Simplify right side
    9,164x = 62,880,664.62
  5. Step 5: Solve for x
    x = 62,880,664.62/9,164
  6. Step 6: Final answer
    x = 6,861.71

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