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Finding the Fourth Proportional to 6,419.13, 9,630.31 and 1,802.13

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Solution

The fourth proportional to 6,419.13, 9,630.31 and 1,802.13 is: 2,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.13 : 9,630.31 = 1,802.13 : x
  2. Step 2: Convert to fraction form
    6,419.13/9,630.31 = 1,802.13/x
  3. Step 3: Cross multiply
    6,419.13x = 9,630.31 × 1,802.13
  4. Step 4: Simplify right side
    6,419.13x = 17,355,070.56
  5. Step 5: Solve for x
    x = 17,355,070.56/6,419.13
  6. Step 6: Final answer
    x = 2,703.65

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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.