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Finding the Fourth Proportional to 6,875.48, 9,488.84 and 4,186.88

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Solution

The fourth proportional to 6,875.48, 9,488.84 and 4,186.88 is: 5,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.48 : 9,488.84 = 4,186.88 : x
  2. Step 2: Convert to fraction form
    6,875.48/9,488.84 = 4,186.88/x
  3. Step 3: Cross multiply
    6,875.48x = 9,488.84 × 4,186.88
  4. Step 4: Simplify right side
    6,875.48x = 39,728,566.04
  5. Step 5: Solve for x
    x = 39,728,566.04/6,875.48
  6. Step 6: Final answer
    x = 5,778.30

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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.