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Finding the Fourth Proportional to 10,424.84, 14,392.50 and 9,258.44

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Solution

The fourth proportional to 10,424.84, 14,392.50 and 9,258.44 is: 12,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.84 : 14,392.50 = 9,258.44 : x
  2. Step 2: Convert to fraction form
    10,424.84/14,392.50 = 9,258.44/x
  3. Step 3: Cross multiply
    10,424.84x = 14,392.50 × 9,258.44
  4. Step 4: Simplify right side
    10,424.84x = 133,252,097.70
  5. Step 5: Solve for x
    x = 133,252,097.70/10,424.84
  6. Step 6: Final answer
    x = 12,782.17

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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.