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Finding the Fourth Proportional to 9,548.31, 14,295.69 and 7,200.93

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Solution

The fourth proportional to 9,548.31, 14,295.69 and 7,200.93 is: 10,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.31 : 14,295.69 = 7,200.93 : x
  2. Step 2: Convert to fraction form
    9,548.31/14,295.69 = 7,200.93/x
  3. Step 3: Cross multiply
    9,548.31x = 14,295.69 × 7,200.93
  4. Step 4: Simplify right side
    9,548.31x = 102,942,262.99
  5. Step 5: Solve for x
    x = 102,942,262.99/9,548.31
  6. Step 6: Final answer
    x = 10,781.20

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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.