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Finding the Fourth Proportional to 7,028.98, 9,713.12 and 6,077.63

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Solution

The fourth proportional to 7,028.98, 9,713.12 and 6,077.63 is: 8,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.98 : 9,713.12 = 6,077.63 : x
  2. Step 2: Convert to fraction form
    7,028.98/9,713.12 = 6,077.63/x
  3. Step 3: Cross multiply
    7,028.98x = 9,713.12 × 6,077.63
  4. Step 4: Simplify right side
    7,028.98x = 59,032,743.40
  5. Step 5: Solve for x
    x = 59,032,743.40/7,028.98
  6. Step 6: Final answer
    x = 8,398.48

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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.