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Finding the Fourth Proportional to 9,424.35, 14,143.82 and 3,582.63

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Solution

The fourth proportional to 9,424.35, 14,143.82 and 3,582.63 is: 5,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.35 : 14,143.82 = 3,582.63 : x
  2. Step 2: Convert to fraction form
    9,424.35/14,143.82 = 3,582.63/x
  3. Step 3: Cross multiply
    9,424.35x = 14,143.82 × 3,582.63
  4. Step 4: Simplify right side
    9,424.35x = 50,672,055.93
  5. Step 5: Solve for x
    x = 50,672,055.93/9,424.35
  6. Step 6: Final answer
    x = 5,376.72

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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.