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Finding the Fourth Proportional to 9,495.52, 14,231 and 5,107.84

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Solution

The fourth proportional to 9,495.52, 14,231 and 5,107.84 is: 7,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.52 : 14,231 = 5,107.84 : x
  2. Step 2: Convert to fraction form
    9,495.52/14,231 = 5,107.84/x
  3. Step 3: Cross multiply
    9,495.52x = 14,231 × 5,107.84
  4. Step 4: Simplify right side
    9,495.52x = 72,689,671.04
  5. Step 5: Solve for x
    x = 72,689,671.04/9,495.52
  6. Step 6: Final answer
    x = 7,655.15

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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.