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Finding the Fourth Proportional to 9,608.49, 14,417.87 and 3,765.15

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Solution

The fourth proportional to 9,608.49, 14,417.87 and 3,765.15 is: 5,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.49 : 14,417.87 = 3,765.15 : x
  2. Step 2: Convert to fraction form
    9,608.49/14,417.87 = 3,765.15/x
  3. Step 3: Cross multiply
    9,608.49x = 14,417.87 × 3,765.15
  4. Step 4: Simplify right side
    9,608.49x = 54,285,424.40
  5. Step 5: Solve for x
    x = 54,285,424.40/9,608.49
  6. Step 6: Final answer
    x = 5,649.74

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