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Finding the Fourth Proportional to 9,954.02, 14,927.76 and 4,407.25

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Solution

The fourth proportional to 9,954.02, 14,927.76 and 4,407.25 is: 6,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.02 : 14,927.76 = 4,407.25 : x
  2. Step 2: Convert to fraction form
    9,954.02/14,927.76 = 4,407.25/x
  3. Step 3: Cross multiply
    9,954.02x = 14,927.76 × 4,407.25
  4. Step 4: Simplify right side
    9,954.02x = 65,790,370.26
  5. Step 5: Solve for x
    x = 65,790,370.26/9,954.02
  6. Step 6: Final answer
    x = 6,609.43

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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.