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Finding the Fourth Proportional to 11,948.44, 16,466.88 and 9,256

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Solution

The fourth proportional to 11,948.44, 16,466.88 and 9,256 is: 12,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.44 : 16,466.88 = 9,256 : x
  2. Step 2: Convert to fraction form
    11,948.44/16,466.88 = 9,256/x
  3. Step 3: Cross multiply
    11,948.44x = 16,466.88 × 9,256
  4. Step 4: Simplify right side
    11,948.44x = 152,417,441.28
  5. Step 5: Solve for x
    x = 152,417,441.28/11,948.44
  6. Step 6: Final answer
    x = 12,756.26

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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.