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Finding the Fourth Proportional to 8,969.68, 12,377.40 and 5,192.08

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Solution

The fourth proportional to 8,969.68, 12,377.40 and 5,192.08 is: 7,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.68 : 12,377.40 = 5,192.08 : x
  2. Step 2: Convert to fraction form
    8,969.68/12,377.40 = 5,192.08/x
  3. Step 3: Cross multiply
    8,969.68x = 12,377.40 × 5,192.08
  4. Step 4: Simplify right side
    8,969.68x = 64,264,450.99
  5. Step 5: Solve for x
    x = 64,264,450.99/8,969.68
  6. Step 6: Final answer
    x = 7,164.63

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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.