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Finding the Fourth Proportional to 9,815.84, 14,712.76 and 3,887.24

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Solution

The fourth proportional to 9,815.84, 14,712.76 and 3,887.24 is: 5,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.84 : 14,712.76 = 3,887.24 : x
  2. Step 2: Convert to fraction form
    9,815.84/14,712.76 = 3,887.24/x
  3. Step 3: Cross multiply
    9,815.84x = 14,712.76 × 3,887.24
  4. Step 4: Simplify right side
    9,815.84x = 57,192,029.18
  5. Step 5: Solve for x
    x = 57,192,029.18/9,815.84
  6. Step 6: Final answer
    x = 5,826.50

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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.