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Finding the Fourth Proportional to 6,543.84, 9,029.40 and 4,186.80

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Solution

The fourth proportional to 6,543.84, 9,029.40 and 4,186.80 is: 5,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.84 : 9,029.40 = 4,186.80 : x
  2. Step 2: Convert to fraction form
    6,543.84/9,029.40 = 4,186.80/x
  3. Step 3: Cross multiply
    6,543.84x = 9,029.40 × 4,186.80
  4. Step 4: Simplify right side
    6,543.84x = 37,804,291.92
  5. Step 5: Solve for x
    x = 37,804,291.92/6,543.84
  6. Step 6: Final answer
    x = 5,777.08

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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.