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Finding the Fourth Proportional to 9,616.30, 13,269.69 and 5,366.98

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Solution

The fourth proportional to 9,616.30, 13,269.69 and 5,366.98 is: 7,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.30 : 13,269.69 = 5,366.98 : x
  2. Step 2: Convert to fraction form
    9,616.30/13,269.69 = 5,366.98/x
  3. Step 3: Cross multiply
    9,616.30x = 13,269.69 × 5,366.98
  4. Step 4: Simplify right side
    9,616.30x = 71,218,160.84
  5. Step 5: Solve for x
    x = 71,218,160.84/9,616.30
  6. Step 6: Final answer
    x = 7,405.98

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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.