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Finding the Fourth Proportional to 9,578.56, 14,371.76 and 5,190.88

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Solution

The fourth proportional to 9,578.56, 14,371.76 and 5,190.88 is: 7,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.56 : 14,371.76 = 5,190.88 : x
  2. Step 2: Convert to fraction form
    9,578.56/14,371.76 = 5,190.88/x
  3. Step 3: Cross multiply
    9,578.56x = 14,371.76 × 5,190.88
  4. Step 4: Simplify right side
    9,578.56x = 74,602,081.55
  5. Step 5: Solve for x
    x = 74,602,081.55/9,578.56
  6. Step 6: Final answer
    x = 7,788.44

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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.