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Finding the Fourth Proportional to 6,419.25, 9,630.50 and 1,802.25

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Solution

The fourth proportional to 6,419.25, 9,630.50 and 1,802.25 is: 2,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.25 : 9,630.50 = 1,802.25 : x
  2. Step 2: Convert to fraction form
    6,419.25/9,630.50 = 1,802.25/x
  3. Step 3: Cross multiply
    6,419.25x = 9,630.50 × 1,802.25
  4. Step 4: Simplify right side
    6,419.25x = 17,356,559.61
  5. Step 5: Solve for x
    x = 17,356,559.61/6,419.25
  6. Step 6: Final answer
    x = 2,703.83

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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.