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Finding the Fourth Proportional to 9,799.63, 13,523.48 and 5,607.88

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Solution

The fourth proportional to 9,799.63, 13,523.48 and 5,607.88 is: 7,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.63 : 13,523.48 = 5,607.88 : x
  2. Step 2: Convert to fraction form
    9,799.63/13,523.48 = 5,607.88/x
  3. Step 3: Cross multiply
    9,799.63x = 13,523.48 × 5,607.88
  4. Step 4: Simplify right side
    9,799.63x = 75,838,053.02
  5. Step 5: Solve for x
    x = 75,838,053.02/9,799.63
  6. Step 6: Final answer
    x = 7,738.87

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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.