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Finding the Fourth Proportional to 9,665.90, 13,340.06 and 5,418.12

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Solution

The fourth proportional to 9,665.90, 13,340.06 and 5,418.12 is: 7,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.90 : 13,340.06 = 5,418.12 : x
  2. Step 2: Convert to fraction form
    9,665.90/13,340.06 = 5,418.12/x
  3. Step 3: Cross multiply
    9,665.90x = 13,340.06 × 5,418.12
  4. Step 4: Simplify right side
    9,665.90x = 72,278,045.89
  5. Step 5: Solve for x
    x = 72,278,045.89/9,665.90
  6. Step 6: Final answer
    x = 7,477.63

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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.