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Finding the Fourth Proportional to 9,083.98, 12,534.24 and 6,845.14

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Solution

The fourth proportional to 9,083.98, 12,534.24 and 6,845.14 is: 9,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.98 : 12,534.24 = 6,845.14 : x
  2. Step 2: Convert to fraction form
    9,083.98/12,534.24 = 6,845.14/x
  3. Step 3: Cross multiply
    9,083.98x = 12,534.24 × 6,845.14
  4. Step 4: Simplify right side
    9,083.98x = 85,798,627.59
  5. Step 5: Solve for x
    x = 85,798,627.59/9,083.98
  6. Step 6: Final answer
    x = 9,445.05

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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.