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Finding the Fourth Proportional to 9,777, 14,665.74 and 3,537.60

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Solution

The fourth proportional to 9,777, 14,665.74 and 3,537.60 is: 5,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777 : 14,665.74 = 3,537.60 : x
  2. Step 2: Convert to fraction form
    9,777/14,665.74 = 3,537.60/x
  3. Step 3: Cross multiply
    9,777x = 14,665.74 × 3,537.60
  4. Step 4: Simplify right side
    9,777x = 51,881,521.82
  5. Step 5: Solve for x
    x = 51,881,521.82/9,777
  6. Step 6: Final answer
    x = 5,306.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.