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Finding the Fourth Proportional to 9,712.56, 13,403.36 and 5,520.84

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Solution

The fourth proportional to 9,712.56, 13,403.36 and 5,520.84 is: 7,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.56 : 13,403.36 = 5,520.84 : x
  2. Step 2: Convert to fraction form
    9,712.56/13,403.36 = 5,520.84/x
  3. Step 3: Cross multiply
    9,712.56x = 13,403.36 × 5,520.84
  4. Step 4: Simplify right side
    9,712.56x = 73,997,806.02
  5. Step 5: Solve for x
    x = 73,997,806.02/9,712.56
  6. Step 6: Final answer
    x = 7,618.77

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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.