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Finding the Fourth Proportional to 9,888.12, 13,645.03 and 5,411.96

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Solution

The fourth proportional to 9,888.12, 13,645.03 and 5,411.96 is: 7,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.12 : 13,645.03 = 5,411.96 : x
  2. Step 2: Convert to fraction form
    9,888.12/13,645.03 = 5,411.96/x
  3. Step 3: Cross multiply
    9,888.12x = 13,645.03 × 5,411.96
  4. Step 4: Simplify right side
    9,888.12x = 73,846,274.80
  5. Step 5: Solve for x
    x = 73,846,274.80/9,888.12
  6. Step 6: Final answer
    x = 7,468.18

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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.