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Finding the Fourth Proportional to 9,669.54, 13,344 and 5,638.75

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Solution

The fourth proportional to 9,669.54, 13,344 and 5,638.75 is: 7,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.54 : 13,344 = 5,638.75 : x
  2. Step 2: Convert to fraction form
    9,669.54/13,344 = 5,638.75/x
  3. Step 3: Cross multiply
    9,669.54x = 13,344 × 5,638.75
  4. Step 4: Simplify right side
    9,669.54x = 75,243,480
  5. Step 5: Solve for x
    x = 75,243,480/9,669.54
  6. Step 6: Final answer
    x = 7,781.50

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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.