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Finding the Fourth Proportional to 9,684.63, 13,365.59 and 5,493.69

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Solution

The fourth proportional to 9,684.63, 13,365.59 and 5,493.69 is: 7,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.63 : 13,365.59 = 5,493.69 : x
  2. Step 2: Convert to fraction form
    9,684.63/13,365.59 = 5,493.69/x
  3. Step 3: Cross multiply
    9,684.63x = 13,365.59 × 5,493.69
  4. Step 4: Simplify right side
    9,684.63x = 73,426,408.13
  5. Step 5: Solve for x
    x = 73,426,408.13/9,684.63
  6. Step 6: Final answer
    x = 7,581.75

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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.