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Finding the Fourth Proportional to 9,776.38, 14,667.28 and 4,513

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Solution

The fourth proportional to 9,776.38, 14,667.28 and 4,513 is: 6,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.38 : 14,667.28 = 4,513 : x
  2. Step 2: Convert to fraction form
    9,776.38/14,667.28 = 4,513/x
  3. Step 3: Cross multiply
    9,776.38x = 14,667.28 × 4,513
  4. Step 4: Simplify right side
    9,776.38x = 66,193,434.64
  5. Step 5: Solve for x
    x = 66,193,434.64/9,776.38
  6. Step 6: Final answer
    x = 6,770.75

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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.