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Finding the Fourth Proportional to 9,924.25, 13,696.14 and 5,732.50

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Solution

The fourth proportional to 9,924.25, 13,696.14 and 5,732.50 is: 7,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.25 : 13,696.14 = 5,732.50 : x
  2. Step 2: Convert to fraction form
    9,924.25/13,696.14 = 5,732.50/x
  3. Step 3: Cross multiply
    9,924.25x = 13,696.14 × 5,732.50
  4. Step 4: Simplify right side
    9,924.25x = 78,513,122.55
  5. Step 5: Solve for x
    x = 78,513,122.55/9,924.25
  6. Step 6: Final answer
    x = 7,911.24

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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.