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Finding the Fourth Proportional to 9,855.17, 13,599.38 and 5,378.99

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Solution

The fourth proportional to 9,855.17, 13,599.38 and 5,378.99 is: 7,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.17 : 13,599.38 = 5,378.99 : x
  2. Step 2: Convert to fraction form
    9,855.17/13,599.38 = 5,378.99/x
  3. Step 3: Cross multiply
    9,855.17x = 13,599.38 × 5,378.99
  4. Step 4: Simplify right side
    9,855.17x = 73,151,000.78
  5. Step 5: Solve for x
    x = 73,151,000.78/9,855.17
  6. Step 6: Final answer
    x = 7,422.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.