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Finding the Fourth Proportional to 9,511.44, 14,264.28 and 3,354

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Solution

The fourth proportional to 9,511.44, 14,264.28 and 3,354 is: 5,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.44 : 14,264.28 = 3,354 : x
  2. Step 2: Convert to fraction form
    9,511.44/14,264.28 = 3,354/x
  3. Step 3: Cross multiply
    9,511.44x = 14,264.28 × 3,354
  4. Step 4: Simplify right side
    9,511.44x = 47,842,395.12
  5. Step 5: Solve for x
    x = 47,842,395.12/9,511.44
  6. Step 6: Final answer
    x = 5,029.98

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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.