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Finding the Fourth Proportional to 6,875.42, 9,488.54 and 3,891.24

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Solution

The fourth proportional to 6,875.42, 9,488.54 and 3,891.24 is: 5,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.42 : 9,488.54 = 3,891.24 : x
  2. Step 2: Convert to fraction form
    6,875.42/9,488.54 = 3,891.24/x
  3. Step 3: Cross multiply
    6,875.42x = 9,488.54 × 3,891.24
  4. Step 4: Simplify right side
    6,875.42x = 36,922,196.12
  5. Step 5: Solve for x
    x = 36,922,196.12/6,875.42
  6. Step 6: Final answer
    x = 5,370.18

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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.