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Finding the Fourth Proportional to 9,339.92, 14,014.56 and 4,409

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Solution

The fourth proportional to 9,339.92, 14,014.56 and 4,409 is: 6,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.92 : 14,014.56 = 4,409 : x
  2. Step 2: Convert to fraction form
    9,339.92/14,014.56 = 4,409/x
  3. Step 3: Cross multiply
    9,339.92x = 14,014.56 × 4,409
  4. Step 4: Simplify right side
    9,339.92x = 61,790,195.04
  5. Step 5: Solve for x
    x = 61,790,195.04/9,339.92
  6. Step 6: Final answer
    x = 6,615.71

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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.