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Finding the Fourth Proportional to 9,409.89, 12,985.65 and 5,218.14

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Solution

The fourth proportional to 9,409.89, 12,985.65 and 5,218.14 is: 7,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.89 : 12,985.65 = 5,218.14 : x
  2. Step 2: Convert to fraction form
    9,409.89/12,985.65 = 5,218.14/x
  3. Step 3: Cross multiply
    9,409.89x = 12,985.65 × 5,218.14
  4. Step 4: Simplify right side
    9,409.89x = 67,760,939.69
  5. Step 5: Solve for x
    x = 67,760,939.69/9,409.89
  6. Step 6: Final answer
    x = 7,201.03

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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.