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Finding the Fourth Proportional to 7,103.90, 9,802.26 and 4,119.12

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Solution

The fourth proportional to 7,103.90, 9,802.26 and 4,119.12 is: 5,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.90 : 9,802.26 = 4,119.12 : x
  2. Step 2: Convert to fraction form
    7,103.90/9,802.26 = 4,119.12/x
  3. Step 3: Cross multiply
    7,103.90x = 9,802.26 × 4,119.12
  4. Step 4: Simplify right side
    7,103.90x = 40,376,685.21
  5. Step 5: Solve for x
    x = 40,376,685.21/7,103.90
  6. Step 6: Final answer
    x = 5,683.74

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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.