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Finding the Fourth Proportional to 9,862.69, 14,796.42 and 3,289.38

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Solution

The fourth proportional to 9,862.69, 14,796.42 and 3,289.38 is: 4,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.69 : 14,796.42 = 3,289.38 : x
  2. Step 2: Convert to fraction form
    9,862.69/14,796.42 = 3,289.38/x
  3. Step 3: Cross multiply
    9,862.69x = 14,796.42 × 3,289.38
  4. Step 4: Simplify right side
    9,862.69x = 48,671,123.55
  5. Step 5: Solve for x
    x = 48,671,123.55/9,862.69
  6. Step 6: Final answer
    x = 4,934.87

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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.