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Finding the Fourth Proportional to 7,103.84, 9,802.87 and 3,916.98

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Solution

The fourth proportional to 7,103.84, 9,802.87 and 3,916.98 is: 5,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.84 : 9,802.87 = 3,916.98 : x
  2. Step 2: Convert to fraction form
    7,103.84/9,802.87 = 3,916.98/x
  3. Step 3: Cross multiply
    7,103.84x = 9,802.87 × 3,916.98
  4. Step 4: Simplify right side
    7,103.84x = 38,397,635.94
  5. Step 5: Solve for x
    x = 38,397,635.94/7,103.84
  6. Step 6: Final answer
    x = 5,405.20

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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.