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Finding the Fourth Proportional to 9,725.84, 13,417.41 and 5,949.17

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Solution

The fourth proportional to 9,725.84, 13,417.41 and 5,949.17 is: 8,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.84 : 13,417.41 = 5,949.17 : x
  2. Step 2: Convert to fraction form
    9,725.84/13,417.41 = 5,949.17/x
  3. Step 3: Cross multiply
    9,725.84x = 13,417.41 × 5,949.17
  4. Step 4: Simplify right side
    9,725.84x = 79,822,356.22
  5. Step 5: Solve for x
    x = 79,822,356.22/9,725.84
  6. Step 6: Final answer
    x = 8,207.25

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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.