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Finding the Fourth Proportional to 9,857.79, 14,788.49 and 3,283.35

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Solution

The fourth proportional to 9,857.79, 14,788.49 and 3,283.35 is: 4,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.79 : 14,788.49 = 3,283.35 : x
  2. Step 2: Convert to fraction form
    9,857.79/14,788.49 = 3,283.35/x
  3. Step 3: Cross multiply
    9,857.79x = 14,788.49 × 3,283.35
  4. Step 4: Simplify right side
    9,857.79x = 48,555,772.22
  5. Step 5: Solve for x
    x = 48,555,772.22/9,857.79
  6. Step 6: Final answer
    x = 4,925.62

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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.