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Finding the Fourth Proportional to 9,924.98, 13,696.95 and 5,449.17

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Solution

The fourth proportional to 9,924.98, 13,696.95 and 5,449.17 is: 7,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.98 : 13,696.95 = 5,449.17 : x
  2. Step 2: Convert to fraction form
    9,924.98/13,696.95 = 5,449.17/x
  3. Step 3: Cross multiply
    9,924.98x = 13,696.95 × 5,449.17
  4. Step 4: Simplify right side
    9,924.98x = 74,637,050.18
  5. Step 5: Solve for x
    x = 74,637,050.18/9,924.98
  6. Step 6: Final answer
    x = 7,520.12

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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.