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Finding the Fourth Proportional to 9,370, 12,930.60 and 5,644.72

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Solution

The fourth proportional to 9,370, 12,930.60 and 5,644.72 is: 7,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370 : 12,930.60 = 5,644.72 : x
  2. Step 2: Convert to fraction form
    9,370/12,930.60 = 5,644.72/x
  3. Step 3: Cross multiply
    9,370x = 12,930.60 × 5,644.72
  4. Step 4: Simplify right side
    9,370x = 72,989,616.43
  5. Step 5: Solve for x
    x = 72,989,616.43/9,370
  6. Step 6: Final answer
    x = 7,789.71

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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.