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Finding the Fourth Proportional to 9,678, 13,354.92 and 5,486.16

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Solution

The fourth proportional to 9,678, 13,354.92 and 5,486.16 is: 7,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 13,354.92 = 5,486.16 : x
  2. Step 2: Convert to fraction form
    9,678/13,354.92 = 5,486.16/x
  3. Step 3: Cross multiply
    9,678x = 13,354.92 × 5,486.16
  4. Step 4: Simplify right side
    9,678x = 73,267,227.91
  5. Step 5: Solve for x
    x = 73,267,227.91/9,678
  6. Step 6: Final answer
    x = 7,570.49

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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.