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Finding the Fourth Proportional to 10,838.56, 14,967.84 and 9,257.44

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Solution

The fourth proportional to 10,838.56, 14,967.84 and 9,257.44 is: 12,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.56 : 14,967.84 = 9,257.44 : x
  2. Step 2: Convert to fraction form
    10,838.56/14,967.84 = 9,257.44/x
  3. Step 3: Cross multiply
    10,838.56x = 14,967.84 × 9,257.44
  4. Step 4: Simplify right side
    10,838.56x = 138,563,880.73
  5. Step 5: Solve for x
    x = 138,563,880.73/10,838.56
  6. Step 6: Final answer
    x = 12,784.34

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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.