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Finding the Fourth Proportional to 9,340.90, 14,006.77 and 3,098.81

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Solution

The fourth proportional to 9,340.90, 14,006.77 and 3,098.81 is: 4,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.90 : 14,006.77 = 3,098.81 : x
  2. Step 2: Convert to fraction form
    9,340.90/14,006.77 = 3,098.81/x
  3. Step 3: Cross multiply
    9,340.90x = 14,006.77 × 3,098.81
  4. Step 4: Simplify right side
    9,340.90x = 43,404,318.94
  5. Step 5: Solve for x
    x = 43,404,318.94/9,340.90
  6. Step 6: Final answer
    x = 4,646.70

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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.