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Finding the Fourth Proportional to 9,813.05, 13,542.90 and 6,038.69

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Solution

The fourth proportional to 9,813.05, 13,542.90 and 6,038.69 is: 8,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.05 : 13,542.90 = 6,038.69 : x
  2. Step 2: Convert to fraction form
    9,813.05/13,542.90 = 6,038.69/x
  3. Step 3: Cross multiply
    9,813.05x = 13,542.90 × 6,038.69
  4. Step 4: Simplify right side
    9,813.05x = 81,781,284.44
  5. Step 5: Solve for x
    x = 81,781,284.44/9,813.05
  6. Step 6: Final answer
    x = 8,333.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.