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Finding the Fourth Proportional to 8,434.01, 11,638.73 and 4,656.95

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Solution

The fourth proportional to 8,434.01, 11,638.73 and 4,656.95 is: 6,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.01 : 11,638.73 = 4,656.95 : x
  2. Step 2: Convert to fraction form
    8,434.01/11,638.73 = 4,656.95/x
  3. Step 3: Cross multiply
    8,434.01x = 11,638.73 × 4,656.95
  4. Step 4: Simplify right side
    8,434.01x = 54,200,902.20
  5. Step 5: Solve for x
    x = 54,200,902.20/8,434.01
  6. Step 6: Final answer
    x = 6,426.47

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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.