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Finding the Fourth Proportional to 9,885.72, 13,642.38 and 5,409.54

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Solution

The fourth proportional to 9,885.72, 13,642.38 and 5,409.54 is: 7,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.72 : 13,642.38 = 5,409.54 : x
  2. Step 2: Convert to fraction form
    9,885.72/13,642.38 = 5,409.54/x
  3. Step 3: Cross multiply
    9,885.72x = 13,642.38 × 5,409.54
  4. Step 4: Simplify right side
    9,885.72x = 73,799,000.31
  5. Step 5: Solve for x
    x = 73,799,000.31/9,885.72
  6. Step 6: Final answer
    x = 7,465.21

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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.