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Finding the Fourth Proportional to 8,649.84, 12,974.58 and 5,869.56

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Solution

The fourth proportional to 8,649.84, 12,974.58 and 5,869.56 is: 8,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.84 : 12,974.58 = 5,869.56 : x
  2. Step 2: Convert to fraction form
    8,649.84/12,974.58 = 5,869.56/x
  3. Step 3: Cross multiply
    8,649.84x = 12,974.58 × 5,869.56
  4. Step 4: Simplify right side
    8,649.84x = 76,155,075.78
  5. Step 5: Solve for x
    x = 76,155,075.78/8,649.84
  6. Step 6: Final answer
    x = 8,804.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.