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Finding the Fourth Proportional to 6,378.90, 9,615.66 and 5,825.22

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Solution

The fourth proportional to 6,378.90, 9,615.66 and 5,825.22 is: 8,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.90 : 9,615.66 = 5,825.22 : x
  2. Step 2: Convert to fraction form
    6,378.90/9,615.66 = 5,825.22/x
  3. Step 3: Cross multiply
    6,378.90x = 9,615.66 × 5,825.22
  4. Step 4: Simplify right side
    6,378.90x = 56,013,334.95
  5. Step 5: Solve for x
    x = 56,013,334.95/6,378.90
  6. Step 6: Final answer
    x = 8,781.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.