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Finding the Fourth Proportional to 9,713.98, 14,531.73 and 8,073.82

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Solution

The fourth proportional to 9,713.98, 14,531.73 and 8,073.82 is: 12,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.98 : 14,531.73 = 8,073.82 : x
  2. Step 2: Convert to fraction form
    9,713.98/14,531.73 = 8,073.82/x
  3. Step 3: Cross multiply
    9,713.98x = 14,531.73 × 8,073.82
  4. Step 4: Simplify right side
    9,713.98x = 117,326,572.31
  5. Step 5: Solve for x
    x = 117,326,572.31/9,713.98
  6. Step 6: Final answer
    x = 12,078.12

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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.