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Finding the Fourth Proportional to 9,883.16, 13,638.36 and 5,406.84

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Solution

The fourth proportional to 9,883.16, 13,638.36 and 5,406.84 is: 7,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.16 : 13,638.36 = 5,406.84 : x
  2. Step 2: Convert to fraction form
    9,883.16/13,638.36 = 5,406.84/x
  3. Step 3: Cross multiply
    9,883.16x = 13,638.36 × 5,406.84
  4. Step 4: Simplify right side
    9,883.16x = 73,740,430.38
  5. Step 5: Solve for x
    x = 73,740,430.38/9,883.16
  6. Step 6: Final answer
    x = 7,461.22

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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.