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Finding the Fourth Proportional to 9,356.38, 14,022.86 and 4,677.68

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Solution

The fourth proportional to 9,356.38, 14,022.86 and 4,677.68 is: 7,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.38 : 14,022.86 = 4,677.68 : x
  2. Step 2: Convert to fraction form
    9,356.38/14,022.86 = 4,677.68/x
  3. Step 3: Cross multiply
    9,356.38x = 14,022.86 × 4,677.68
  4. Step 4: Simplify right side
    9,356.38x = 65,594,463.43
  5. Step 5: Solve for x
    x = 65,594,463.43/9,356.38
  6. Step 6: Final answer
    x = 7,010.67

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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.