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Finding the Fourth Proportional to 9,627.58, 14,428.62 and 7,142.92

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Solution

The fourth proportional to 9,627.58, 14,428.62 and 7,142.92 is: 10,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.58 : 14,428.62 = 7,142.92 : x
  2. Step 2: Convert to fraction form
    9,627.58/14,428.62 = 7,142.92/x
  3. Step 3: Cross multiply
    9,627.58x = 14,428.62 × 7,142.92
  4. Step 4: Simplify right side
    9,627.58x = 103,062,478.37
  5. Step 5: Solve for x
    x = 103,062,478.37/9,627.58
  6. Step 6: Final answer
    x = 10,704.92

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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.