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Finding the Fourth Proportional to 9,616.52, 13,270.76 and 5,200.52

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Solution

The fourth proportional to 9,616.52, 13,270.76 and 5,200.52 is: 7,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.52 : 13,270.76 = 5,200.52 : x
  2. Step 2: Convert to fraction form
    9,616.52/13,270.76 = 5,200.52/x
  3. Step 3: Cross multiply
    9,616.52x = 13,270.76 × 5,200.52
  4. Step 4: Simplify right side
    9,616.52x = 69,014,852.80
  5. Step 5: Solve for x
    x = 69,014,852.80/9,616.52
  6. Step 6: Final answer
    x = 7,176.70

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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.