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Finding the Fourth Proportional to 9,077.54, 13,613.04 and 3,232.98

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Solution

The fourth proportional to 9,077.54, 13,613.04 and 3,232.98 is: 4,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.54 : 13,613.04 = 3,232.98 : x
  2. Step 2: Convert to fraction form
    9,077.54/13,613.04 = 3,232.98/x
  3. Step 3: Cross multiply
    9,077.54x = 13,613.04 × 3,232.98
  4. Step 4: Simplify right side
    9,077.54x = 44,010,686.06
  5. Step 5: Solve for x
    x = 44,010,686.06/9,077.54
  6. Step 6: Final answer
    x = 4,848.31

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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.