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Finding the Fourth Proportional to 6,883.90, 9,478.20 and 6,075.52

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Solution

The fourth proportional to 6,883.90, 9,478.20 and 6,075.52 is: 8,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.90 : 9,478.20 = 6,075.52 : x
  2. Step 2: Convert to fraction form
    6,883.90/9,478.20 = 6,075.52/x
  3. Step 3: Cross multiply
    6,883.90x = 9,478.20 × 6,075.52
  4. Step 4: Simplify right side
    6,883.90x = 57,584,993.66
  5. Step 5: Solve for x
    x = 57,584,993.66/6,883.90
  6. Step 6: Final answer
    x = 8,365.17

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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.