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Finding the Fourth Proportional to 9,857.54, 14,788.11 and 3,283.10

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Solution

The fourth proportional to 9,857.54, 14,788.11 and 3,283.10 is: 4,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.54 : 14,788.11 = 3,283.10 : x
  2. Step 2: Convert to fraction form
    9,857.54/14,788.11 = 3,283.10/x
  3. Step 3: Cross multiply
    9,857.54x = 14,788.11 × 3,283.10
  4. Step 4: Simplify right side
    9,857.54x = 48,550,843.94
  5. Step 5: Solve for x
    x = 48,550,843.94/9,857.54
  6. Step 6: Final answer
    x = 4,925.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.