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Finding the Fourth Proportional to 9,140.84, 12,614.40 and 4,949.12

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Solution

The fourth proportional to 9,140.84, 12,614.40 and 4,949.12 is: 6,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.84 : 12,614.40 = 4,949.12 : x
  2. Step 2: Convert to fraction form
    9,140.84/12,614.40 = 4,949.12/x
  3. Step 3: Cross multiply
    9,140.84x = 12,614.40 × 4,949.12
  4. Step 4: Simplify right side
    9,140.84x = 62,430,179.33
  5. Step 5: Solve for x
    x = 62,430,179.33/9,140.84
  6. Step 6: Final answer
    x = 6,829.81

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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.