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Finding the Fourth Proportional to 6,434.26, 9,656.88 and 4,589.90

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Solution

The fourth proportional to 6,434.26, 9,656.88 and 4,589.90 is: 6,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.26 : 9,656.88 = 4,589.90 : x
  2. Step 2: Convert to fraction form
    6,434.26/9,656.88 = 4,589.90/x
  3. Step 3: Cross multiply
    6,434.26x = 9,656.88 × 4,589.90
  4. Step 4: Simplify right side
    6,434.26x = 44,324,113.51
  5. Step 5: Solve for x
    x = 44,324,113.51/6,434.26
  6. Step 6: Final answer
    x = 6,888.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.