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Finding the Fourth Proportional to 9,386.75, 12,954.12 and 5,195

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Solution

The fourth proportional to 9,386.75, 12,954.12 and 5,195 is: 7,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.75 : 12,954.12 = 5,195 : x
  2. Step 2: Convert to fraction form
    9,386.75/12,954.12 = 5,195/x
  3. Step 3: Cross multiply
    9,386.75x = 12,954.12 × 5,195
  4. Step 4: Simplify right side
    9,386.75x = 67,296,653.40
  5. Step 5: Solve for x
    x = 67,296,653.40/9,386.75
  6. Step 6: Final answer
    x = 7,169.32

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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.