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Finding the Fourth Proportional to 9,608, 13,259.04 and 5,416.40

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Solution

The fourth proportional to 9,608, 13,259.04 and 5,416.40 is: 7,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608 : 13,259.04 = 5,416.40 : x
  2. Step 2: Convert to fraction form
    9,608/13,259.04 = 5,416.40/x
  3. Step 3: Cross multiply
    9,608x = 13,259.04 × 5,416.40
  4. Step 4: Simplify right side
    9,608x = 71,816,264.26
  5. Step 5: Solve for x
    x = 71,816,264.26/9,608
  6. Step 6: Final answer
    x = 7,474.63

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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.