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Finding the Fourth Proportional to 10,296.60, 15,459.30 and 6,408.60

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Solution

The fourth proportional to 10,296.60, 15,459.30 and 6,408.60 is: 9,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.60 : 15,459.30 = 6,408.60 : x
  2. Step 2: Convert to fraction form
    10,296.60/15,459.30 = 6,408.60/x
  3. Step 3: Cross multiply
    10,296.60x = 15,459.30 × 6,408.60
  4. Step 4: Simplify right side
    10,296.60x = 99,072,469.98
  5. Step 5: Solve for x
    x = 99,072,469.98/10,296.60
  6. Step 6: Final answer
    x = 9,621.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.