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Finding the Fourth Proportional to 9,511.36, 14,332 and 7,817.92

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Solution

The fourth proportional to 9,511.36, 14,332 and 7,817.92 is: 11,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.36 : 14,332 = 7,817.92 : x
  2. Step 2: Convert to fraction form
    9,511.36/14,332 = 7,817.92/x
  3. Step 3: Cross multiply
    9,511.36x = 14,332 × 7,817.92
  4. Step 4: Simplify right side
    9,511.36x = 112,046,429.44
  5. Step 5: Solve for x
    x = 112,046,429.44/9,511.36
  6. Step 6: Final answer
    x = 11,780.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.