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Finding the Fourth Proportional to 9,855.17, 13,600.14 and 5,378.84

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Solution

The fourth proportional to 9,855.17, 13,600.14 and 5,378.84 is: 7,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.17 : 13,600.14 = 5,378.84 : x
  2. Step 2: Convert to fraction form
    9,855.17/13,600.14 = 5,378.84/x
  3. Step 3: Cross multiply
    9,855.17x = 13,600.14 × 5,378.84
  4. Step 4: Simplify right side
    9,855.17x = 73,152,977.04
  5. Step 5: Solve for x
    x = 73,152,977.04/9,855.17
  6. Step 6: Final answer
    x = 7,422.80

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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.