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Finding the Fourth Proportional to 9,608.97, 13,256.54 and 5,830.74

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Solution

The fourth proportional to 9,608.97, 13,256.54 and 5,830.74 is: 8,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.97 : 13,256.54 = 5,830.74 : x
  2. Step 2: Convert to fraction form
    9,608.97/13,256.54 = 5,830.74/x
  3. Step 3: Cross multiply
    9,608.97x = 13,256.54 × 5,830.74
  4. Step 4: Simplify right side
    9,608.97x = 77,295,408.89
  5. Step 5: Solve for x
    x = 77,295,408.89/9,608.97
  6. Step 6: Final answer
    x = 8,044.09

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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.