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Finding the Fourth Proportional to 7,103.41, 9,802.77 and 3,916.83

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Solution

The fourth proportional to 7,103.41, 9,802.77 and 3,916.83 is: 5,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.41 : 9,802.77 = 3,916.83 : x
  2. Step 2: Convert to fraction form
    7,103.41/9,802.77 = 3,916.83/x
  3. Step 3: Cross multiply
    7,103.41x = 9,802.77 × 3,916.83
  4. Step 4: Simplify right side
    7,103.41x = 38,395,783.62
  5. Step 5: Solve for x
    x = 38,395,783.62/7,103.41
  6. Step 6: Final answer
    x = 5,405.26

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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.