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Finding the Fourth Proportional to 9,955.16, 13,739.39 and 6,428.62

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Solution

The fourth proportional to 9,955.16, 13,739.39 and 6,428.62 is: 8,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.16 : 13,739.39 = 6,428.62 : x
  2. Step 2: Convert to fraction form
    9,955.16/13,739.39 = 6,428.62/x
  3. Step 3: Cross multiply
    9,955.16x = 13,739.39 × 6,428.62
  4. Step 4: Simplify right side
    9,955.16x = 88,325,317.34
  5. Step 5: Solve for x
    x = 88,325,317.34/9,955.16
  6. Step 6: Final answer
    x = 8,872.32

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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.