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Finding the Fourth Proportional to 9,684.09, 13,363.86 and 5,435.16

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Solution

The fourth proportional to 9,684.09, 13,363.86 and 5,435.16 is: 7,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.09 : 13,363.86 = 5,435.16 : x
  2. Step 2: Convert to fraction form
    9,684.09/13,363.86 = 5,435.16/x
  3. Step 3: Cross multiply
    9,684.09x = 13,363.86 × 5,435.16
  4. Step 4: Simplify right side
    9,684.09x = 72,634,717.32
  5. Step 5: Solve for x
    x = 72,634,717.32/9,684.09
  6. Step 6: Final answer
    x = 7,500.42

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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.