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Finding the Fourth Proportional to 9,028.86, 12,461.18 and 5,491.38

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Solution

The fourth proportional to 9,028.86, 12,461.18 and 5,491.38 is: 7,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.86 : 12,461.18 = 5,491.38 : x
  2. Step 2: Convert to fraction form
    9,028.86/12,461.18 = 5,491.38/x
  3. Step 3: Cross multiply
    9,028.86x = 12,461.18 × 5,491.38
  4. Step 4: Simplify right side
    9,028.86x = 68,429,074.63
  5. Step 5: Solve for x
    x = 68,429,074.63/9,028.86
  6. Step 6: Final answer
    x = 7,578.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.