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Finding the Fourth Proportional to 9,809.24, 13,543.74 and 6,037.47

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Solution

The fourth proportional to 9,809.24, 13,543.74 and 6,037.47 is: 8,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.24 : 13,543.74 = 6,037.47 : x
  2. Step 2: Convert to fraction form
    9,809.24/13,543.74 = 6,037.47/x
  3. Step 3: Cross multiply
    9,809.24x = 13,543.74 × 6,037.47
  4. Step 4: Simplify right side
    9,809.24x = 81,769,923.94
  5. Step 5: Solve for x
    x = 81,769,923.94/9,809.24
  6. Step 6: Final answer
    x = 8,336.01

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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.