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Finding the Fourth Proportional to 9,353.34, 12,907.60 and 5,996.15

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Solution

The fourth proportional to 9,353.34, 12,907.60 and 5,996.15 is: 8,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.34 : 12,907.60 = 5,996.15 : x
  2. Step 2: Convert to fraction form
    9,353.34/12,907.60 = 5,996.15/x
  3. Step 3: Cross multiply
    9,353.34x = 12,907.60 × 5,996.15
  4. Step 4: Simplify right side
    9,353.34x = 77,395,905.74
  5. Step 5: Solve for x
    x = 77,395,905.74/9,353.34
  6. Step 6: Final answer
    x = 8,274.68

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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.