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Finding the Fourth Proportional to 9,883.35, 13,638.97 and 5,407.02

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Solution

The fourth proportional to 9,883.35, 13,638.97 and 5,407.02 is: 7,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.35 : 13,638.97 = 5,407.02 : x
  2. Step 2: Convert to fraction form
    9,883.35/13,638.97 = 5,407.02/x
  3. Step 3: Cross multiply
    9,883.35x = 13,638.97 × 5,407.02
  4. Step 4: Simplify right side
    9,883.35x = 73,746,183.57
  5. Step 5: Solve for x
    x = 73,746,183.57/9,883.35
  6. Step 6: Final answer
    x = 7,461.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.