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Finding the Fourth Proportional to 9,549.51, 13,175.62 and 6,192.46

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Solution

The fourth proportional to 9,549.51, 13,175.62 and 6,192.46 is: 8,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.51 : 13,175.62 = 6,192.46 : x
  2. Step 2: Convert to fraction form
    9,549.51/13,175.62 = 6,192.46/x
  3. Step 3: Cross multiply
    9,549.51x = 13,175.62 × 6,192.46
  4. Step 4: Simplify right side
    9,549.51x = 81,589,499.83
  5. Step 5: Solve for x
    x = 81,589,499.83/9,549.51
  6. Step 6: Final answer
    x = 8,543.84

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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.