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Finding the Fourth Proportional to 9,578.70, 14,339.70 and 7,124.40

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Solution

The fourth proportional to 9,578.70, 14,339.70 and 7,124.40 is: 10,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.70 : 14,339.70 = 7,124.40 : x
  2. Step 2: Convert to fraction form
    9,578.70/14,339.70 = 7,124.40/x
  3. Step 3: Cross multiply
    9,578.70x = 14,339.70 × 7,124.40
  4. Step 4: Simplify right side
    9,578.70x = 102,161,758.68
  5. Step 5: Solve for x
    x = 102,161,758.68/9,578.70
  6. Step 6: Final answer
    x = 10,665.51

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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.