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Finding the Fourth Proportional to 9,789.88, 13,511.20 and 5,483.38

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Solution

The fourth proportional to 9,789.88, 13,511.20 and 5,483.38 is: 7,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.88 : 13,511.20 = 5,483.38 : x
  2. Step 2: Convert to fraction form
    9,789.88/13,511.20 = 5,483.38/x
  3. Step 3: Cross multiply
    9,789.88x = 13,511.20 × 5,483.38
  4. Step 4: Simplify right side
    9,789.88x = 74,087,043.86
  5. Step 5: Solve for x
    x = 74,087,043.86/9,789.88
  6. Step 6: Final answer
    x = 7,567.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.