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Finding the Fourth Proportional to 9,556, 14,330.32 and 3,711.84

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Solution

The fourth proportional to 9,556, 14,330.32 and 3,711.84 is: 5,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556 : 14,330.32 = 3,711.84 : x
  2. Step 2: Convert to fraction form
    9,556/14,330.32 = 3,711.84/x
  3. Step 3: Cross multiply
    9,556x = 14,330.32 × 3,711.84
  4. Step 4: Simplify right side
    9,556x = 53,191,854.99
  5. Step 5: Solve for x
    x = 53,191,854.99/9,556
  6. Step 6: Final answer
    x = 5,566.33

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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.