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Finding the Fourth Proportional to 9,797.70, 13,515.44 and 6,206.08

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Solution

The fourth proportional to 9,797.70, 13,515.44 and 6,206.08 is: 8,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.70 : 13,515.44 = 6,206.08 : x
  2. Step 2: Convert to fraction form
    9,797.70/13,515.44 = 6,206.08/x
  3. Step 3: Cross multiply
    9,797.70x = 13,515.44 × 6,206.08
  4. Step 4: Simplify right side
    9,797.70x = 83,877,901.88
  5. Step 5: Solve for x
    x = 83,877,901.88/9,797.70
  6. Step 6: Final answer
    x = 8,560.98

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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.