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Finding the Fourth Proportional to 9,182.82, 12,677.13 and 7,370.58

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Solution

The fourth proportional to 9,182.82, 12,677.13 and 7,370.58 is: 10,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.82 : 12,677.13 = 7,370.58 : x
  2. Step 2: Convert to fraction form
    9,182.82/12,677.13 = 7,370.58/x
  3. Step 3: Cross multiply
    9,182.82x = 12,677.13 × 7,370.58
  4. Step 4: Simplify right side
    9,182.82x = 93,437,800.84
  5. Step 5: Solve for x
    x = 93,437,800.84/9,182.82
  6. Step 6: Final answer
    x = 10,175.28

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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.