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Finding the Fourth Proportional to 9,616.76, 13,271.53 and 5,425

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Solution

The fourth proportional to 9,616.76, 13,271.53 and 5,425 is: 7,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.76 : 13,271.53 = 5,425 : x
  2. Step 2: Convert to fraction form
    9,616.76/13,271.53 = 5,425/x
  3. Step 3: Cross multiply
    9,616.76x = 13,271.53 × 5,425
  4. Step 4: Simplify right side
    9,616.76x = 71,998,050.25
  5. Step 5: Solve for x
    x = 71,998,050.25/9,616.76
  6. Step 6: Final answer
    x = 7,486.73

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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.