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Finding the Fourth Proportional to 9,855.76, 13,600.55 and 5,823.90

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Solution

The fourth proportional to 9,855.76, 13,600.55 and 5,823.90 is: 8,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.76 : 13,600.55 = 5,823.90 : x
  2. Step 2: Convert to fraction form
    9,855.76/13,600.55 = 5,823.90/x
  3. Step 3: Cross multiply
    9,855.76x = 13,600.55 × 5,823.90
  4. Step 4: Simplify right side
    9,855.76x = 79,208,243.15
  5. Step 5: Solve for x
    x = 79,208,243.15/9,855.76
  6. Step 6: Final answer
    x = 8,036.75

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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.