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Finding the Fourth Proportional to 9,517.17, 14,254.95 and 4,829.10

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Solution

The fourth proportional to 9,517.17, 14,254.95 and 4,829.10 is: 7,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.17 : 14,254.95 = 4,829.10 : x
  2. Step 2: Convert to fraction form
    9,517.17/14,254.95 = 4,829.10/x
  3. Step 3: Cross multiply
    9,517.17x = 14,254.95 × 4,829.10
  4. Step 4: Simplify right side
    9,517.17x = 68,838,579.05
  5. Step 5: Solve for x
    x = 68,838,579.05/9,517.17
  6. Step 6: Final answer
    x = 7,233.09

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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.