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Finding the Fourth Proportional to 6,906.61, 9,539.04 and 4,559.23

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Solution

The fourth proportional to 6,906.61, 9,539.04 and 4,559.23 is: 6,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.61 : 9,539.04 = 4,559.23 : x
  2. Step 2: Convert to fraction form
    6,906.61/9,539.04 = 4,559.23/x
  3. Step 3: Cross multiply
    6,906.61x = 9,539.04 × 4,559.23
  4. Step 4: Simplify right side
    6,906.61x = 43,490,677.34
  5. Step 5: Solve for x
    x = 43,490,677.34/6,906.61
  6. Step 6: Final answer
    x = 6,296.96

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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.