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Finding the Fourth Proportional to 9,855.57, 14,775.50 and 5,690.85

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Solution

The fourth proportional to 9,855.57, 14,775.50 and 5,690.85 is: 8,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.57 : 14,775.50 = 5,690.85 : x
  2. Step 2: Convert to fraction form
    9,855.57/14,775.50 = 5,690.85/x
  3. Step 3: Cross multiply
    9,855.57x = 14,775.50 × 5,690.85
  4. Step 4: Simplify right side
    9,855.57x = 84,085,154.18
  5. Step 5: Solve for x
    x = 84,085,154.18/9,855.57
  6. Step 6: Final answer
    x = 8,531.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.