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Finding the Fourth Proportional to 9,927.62, 13,700.52 and 5,947.98

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Solution

The fourth proportional to 9,927.62, 13,700.52 and 5,947.98 is: 8,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.62 : 13,700.52 = 5,947.98 : x
  2. Step 2: Convert to fraction form
    9,927.62/13,700.52 = 5,947.98/x
  3. Step 3: Cross multiply
    9,927.62x = 13,700.52 × 5,947.98
  4. Step 4: Simplify right side
    9,927.62x = 81,490,418.95
  5. Step 5: Solve for x
    x = 81,490,418.95/9,927.62
  6. Step 6: Final answer
    x = 8,208.45

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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.