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Finding the Fourth Proportional to 9,444.88, 13,043.37 and 7,782.76

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Solution

The fourth proportional to 9,444.88, 13,043.37 and 7,782.76 is: 10,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.88 : 13,043.37 = 7,782.76 : x
  2. Step 2: Convert to fraction form
    9,444.88/13,043.37 = 7,782.76/x
  3. Step 3: Cross multiply
    9,444.88x = 13,043.37 × 7,782.76
  4. Step 4: Simplify right side
    9,444.88x = 101,513,418.30
  5. Step 5: Solve for x
    x = 101,513,418.30/9,444.88
  6. Step 6: Final answer
    x = 10,747.98

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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.