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Finding the Fourth Proportional to 9,684.86, 13,364.31 and 5,435.33

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Solution

The fourth proportional to 9,684.86, 13,364.31 and 5,435.33 is: 7,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.86 : 13,364.31 = 5,435.33 : x
  2. Step 2: Convert to fraction form
    9,684.86/13,364.31 = 5,435.33/x
  3. Step 3: Cross multiply
    9,684.86x = 13,364.31 × 5,435.33
  4. Step 4: Simplify right side
    9,684.86x = 72,639,368.25
  5. Step 5: Solve for x
    x = 72,639,368.25/9,684.86
  6. Step 6: Final answer
    x = 7,500.31

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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.