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Finding the Fourth Proportional to 9,511.86, 14,265.39 and 4,580.22

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Solution

The fourth proportional to 9,511.86, 14,265.39 and 4,580.22 is: 6,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.86 : 14,265.39 = 4,580.22 : x
  2. Step 2: Convert to fraction form
    9,511.86/14,265.39 = 4,580.22/x
  3. Step 3: Cross multiply
    9,511.86x = 14,265.39 × 4,580.22
  4. Step 4: Simplify right side
    9,511.86x = 65,338,624.59
  5. Step 5: Solve for x
    x = 65,338,624.59/9,511.86
  6. Step 6: Final answer
    x = 6,869.17

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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.