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Finding the Fourth Proportional to 6,875.75, 9,488.44 and 4,186.35

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Solution

The fourth proportional to 6,875.75, 9,488.44 and 4,186.35 is: 5,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.75 : 9,488.44 = 4,186.35 : x
  2. Step 2: Convert to fraction form
    6,875.75/9,488.44 = 4,186.35/x
  3. Step 3: Cross multiply
    6,875.75x = 9,488.44 × 4,186.35
  4. Step 4: Simplify right side
    6,875.75x = 39,721,936.03
  5. Step 5: Solve for x
    x = 39,721,936.03/6,875.75
  6. Step 6: Final answer
    x = 5,777.10

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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.