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Finding the Fourth Proportional to 9,712.35, 13,403.61 and 5,520.60

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Solution

The fourth proportional to 9,712.35, 13,403.61 and 5,520.60 is: 7,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.35 : 13,403.61 = 5,520.60 : x
  2. Step 2: Convert to fraction form
    9,712.35/13,403.61 = 5,520.60/x
  3. Step 3: Cross multiply
    9,712.35x = 13,403.61 × 5,520.60
  4. Step 4: Simplify right side
    9,712.35x = 73,995,969.37
  5. Step 5: Solve for x
    x = 73,995,969.37/9,712.35
  6. Step 6: Final answer
    x = 7,618.75

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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.