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Finding the Fourth Proportional to 9,752.77, 14,625.70 and 3,511.11

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Solution

The fourth proportional to 9,752.77, 14,625.70 and 3,511.11 is: 5,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.77 : 14,625.70 = 3,511.11 : x
  2. Step 2: Convert to fraction form
    9,752.77/14,625.70 = 3,511.11/x
  3. Step 3: Cross multiply
    9,752.77x = 14,625.70 × 3,511.11
  4. Step 4: Simplify right side
    9,752.77x = 51,352,435.77
  5. Step 5: Solve for x
    x = 51,352,435.77/9,752.77
  6. Step 6: Final answer
    x = 5,265.42

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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.