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Finding the Fourth Proportional to 9,803.88, 14,707.44 and 5,853.24

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Solution

The fourth proportional to 9,803.88, 14,707.44 and 5,853.24 is: 8,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.88 : 14,707.44 = 5,853.24 : x
  2. Step 2: Convert to fraction form
    9,803.88/14,707.44 = 5,853.24/x
  3. Step 3: Cross multiply
    9,803.88x = 14,707.44 × 5,853.24
  4. Step 4: Simplify right side
    9,803.88x = 86,086,176.11
  5. Step 5: Solve for x
    x = 86,086,176.11/9,803.88
  6. Step 6: Final answer
    x = 8,780.83

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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.