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Finding the Fourth Proportional to 9,182.14, 12,673.19 and 5,828.95

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Solution

The fourth proportional to 9,182.14, 12,673.19 and 5,828.95 is: 8,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.14 : 12,673.19 = 5,828.95 : x
  2. Step 2: Convert to fraction form
    9,182.14/12,673.19 = 5,828.95/x
  3. Step 3: Cross multiply
    9,182.14x = 12,673.19 × 5,828.95
  4. Step 4: Simplify right side
    9,182.14x = 73,871,390.85
  5. Step 5: Solve for x
    x = 73,871,390.85/9,182.14
  6. Step 6: Final answer
    x = 8,045.12

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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.