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Finding the Fourth Proportional to 9,778.38, 14,665.86 and 4,513.14

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Solution

The fourth proportional to 9,778.38, 14,665.86 and 4,513.14 is: 6,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.38 : 14,665.86 = 4,513.14 : x
  2. Step 2: Convert to fraction form
    9,778.38/14,665.86 = 4,513.14/x
  3. Step 3: Cross multiply
    9,778.38x = 14,665.86 × 4,513.14
  4. Step 4: Simplify right side
    9,778.38x = 66,189,079.40
  5. Step 5: Solve for x
    x = 66,189,079.40/9,778.38
  6. Step 6: Final answer
    x = 6,768.92

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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.