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Finding the Fourth Proportional to 9,711.60, 14,556.60 and 5,332.20

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Solution

The fourth proportional to 9,711.60, 14,556.60 and 5,332.20 is: 7,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.60 : 14,556.60 = 5,332.20 : x
  2. Step 2: Convert to fraction form
    9,711.60/14,556.60 = 5,332.20/x
  3. Step 3: Cross multiply
    9,711.60x = 14,556.60 × 5,332.20
  4. Step 4: Simplify right side
    9,711.60x = 77,618,702.52
  5. Step 5: Solve for x
    x = 77,618,702.52/9,711.60
  6. Step 6: Final answer
    x = 7,992.37

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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.