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Finding the Fourth Proportional to 11,491.84, 15,838.32 and 9,894.37

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Solution

The fourth proportional to 11,491.84, 15,838.32 and 9,894.37 is: 13,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.84 : 15,838.32 = 9,894.37 : x
  2. Step 2: Convert to fraction form
    11,491.84/15,838.32 = 9,894.37/x
  3. Step 3: Cross multiply
    11,491.84x = 15,838.32 × 9,894.37
  4. Step 4: Simplify right side
    11,491.84x = 156,710,198.26
  5. Step 5: Solve for x
    x = 156,710,198.26/11,491.84
  6. Step 6: Final answer
    x = 13,636.65

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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.