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Finding the Fourth Proportional to 9,775.82, 14,658.24 and 4,225.70

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Solution

The fourth proportional to 9,775.82, 14,658.24 and 4,225.70 is: 6,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.82 : 14,658.24 = 4,225.70 : x
  2. Step 2: Convert to fraction form
    9,775.82/14,658.24 = 4,225.70/x
  3. Step 3: Cross multiply
    9,775.82x = 14,658.24 × 4,225.70
  4. Step 4: Simplify right side
    9,775.82x = 61,941,324.77
  5. Step 5: Solve for x
    x = 61,941,324.77/9,775.82
  6. Step 6: Final answer
    x = 6,336.18

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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.