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Finding the Fourth Proportional to 9,275.71, 13,913.69 and 3,356.84

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Solution

The fourth proportional to 9,275.71, 13,913.69 and 3,356.84 is: 5,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.71 : 13,913.69 = 3,356.84 : x
  2. Step 2: Convert to fraction form
    9,275.71/13,913.69 = 3,356.84/x
  3. Step 3: Cross multiply
    9,275.71x = 13,913.69 × 3,356.84
  4. Step 4: Simplify right side
    9,275.71x = 46,706,022.14
  5. Step 5: Solve for x
    x = 46,706,022.14/9,275.71
  6. Step 6: Final answer
    x = 5,035.30

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Why These Related Problems?

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