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Finding the Fourth Proportional to 9,128.16, 13,689.36 and 2,553.84

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Solution

The fourth proportional to 9,128.16, 13,689.36 and 2,553.84 is: 3,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.16 : 13,689.36 = 2,553.84 : x
  2. Step 2: Convert to fraction form
    9,128.16/13,689.36 = 2,553.84/x
  3. Step 3: Cross multiply
    9,128.16x = 13,689.36 × 2,553.84
  4. Step 4: Simplify right side
    9,128.16x = 34,960,435.14
  5. Step 5: Solve for x
    x = 34,960,435.14/9,128.16
  6. Step 6: Final answer
    x = 3,829.95

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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.