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Finding the Fourth Proportional to 9,970.56, 13,760.64 and 6,249.60

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Solution

The fourth proportional to 9,970.56, 13,760.64 and 6,249.60 is: 8,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.56 : 13,760.64 = 6,249.60 : x
  2. Step 2: Convert to fraction form
    9,970.56/13,760.64 = 6,249.60/x
  3. Step 3: Cross multiply
    9,970.56x = 13,760.64 × 6,249.60
  4. Step 4: Simplify right side
    9,970.56x = 85,998,495.74
  5. Step 5: Solve for x
    x = 85,998,495.74/9,970.56
  6. Step 6: Final answer
    x = 8,625.24

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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.