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Finding the Fourth Proportional to 9,684.60, 13,365.75 and 5,436.30

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Solution

The fourth proportional to 9,684.60, 13,365.75 and 5,436.30 is: 7,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.60 : 13,365.75 = 5,436.30 : x
  2. Step 2: Convert to fraction form
    9,684.60/13,365.75 = 5,436.30/x
  3. Step 3: Cross multiply
    9,684.60x = 13,365.75 × 5,436.30
  4. Step 4: Simplify right side
    9,684.60x = 72,660,226.73
  5. Step 5: Solve for x
    x = 72,660,226.73/9,684.60
  6. Step 6: Final answer
    x = 7,502.66

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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.