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Finding the Fourth Proportional to 9,667.59, 13,341.42 and 5,418.87

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Solution

The fourth proportional to 9,667.59, 13,341.42 and 5,418.87 is: 7,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.59 : 13,341.42 = 5,418.87 : x
  2. Step 2: Convert to fraction form
    9,667.59/13,341.42 = 5,418.87/x
  3. Step 3: Cross multiply
    9,667.59x = 13,341.42 × 5,418.87
  4. Step 4: Simplify right side
    9,667.59x = 72,295,420.60
  5. Step 5: Solve for x
    x = 72,295,420.60/9,667.59
  6. Step 6: Final answer
    x = 7,478.12

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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.