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Finding the Fourth Proportional to 9,618.26, 14,429.15 and 4,424

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Solution

The fourth proportional to 9,618.26, 14,429.15 and 4,424 is: 6,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.26 : 14,429.15 = 4,424 : x
  2. Step 2: Convert to fraction form
    9,618.26/14,429.15 = 4,424/x
  3. Step 3: Cross multiply
    9,618.26x = 14,429.15 × 4,424
  4. Step 4: Simplify right side
    9,618.26x = 63,834,559.60
  5. Step 5: Solve for x
    x = 63,834,559.60/9,618.26
  6. Step 6: Final answer
    x = 6,636.81

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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.