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Finding the Fourth Proportional to 9,712.80, 13,403.52 and 5,463.54

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Solution

The fourth proportional to 9,712.80, 13,403.52 and 5,463.54 is: 7,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.80 : 13,403.52 = 5,463.54 : x
  2. Step 2: Convert to fraction form
    9,712.80/13,403.52 = 5,463.54/x
  3. Step 3: Cross multiply
    9,712.80x = 13,403.52 × 5,463.54
  4. Step 4: Simplify right side
    9,712.80x = 73,230,667.66
  5. Step 5: Solve for x
    x = 73,230,667.66/9,712.80
  6. Step 6: Final answer
    x = 7,539.60

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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.