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Finding the Fourth Proportional to 9,788.55, 14,683.68 and 2,768.68

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Solution

The fourth proportional to 9,788.55, 14,683.68 and 2,768.68 is: 4,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.55 : 14,683.68 = 2,768.68 : x
  2. Step 2: Convert to fraction form
    9,788.55/14,683.68 = 2,768.68/x
  3. Step 3: Cross multiply
    9,788.55x = 14,683.68 × 2,768.68
  4. Step 4: Simplify right side
    9,788.55x = 40,654,429.50
  5. Step 5: Solve for x
    x = 40,654,429.50/9,788.55
  6. Step 6: Final answer
    x = 4,153.27

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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.