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Finding the Fourth Proportional to 6,194.64, 9,304.11 and 4,810.77

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Solution

The fourth proportional to 6,194.64, 9,304.11 and 4,810.77 is: 7,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.64 : 9,304.11 = 4,810.77 : x
  2. Step 2: Convert to fraction form
    6,194.64/9,304.11 = 4,810.77/x
  3. Step 3: Cross multiply
    6,194.64x = 9,304.11 × 4,810.77
  4. Step 4: Simplify right side
    6,194.64x = 44,759,933.26
  5. Step 5: Solve for x
    x = 44,759,933.26/6,194.64
  6. Step 6: Final answer
    x = 7,225.59

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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.