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Finding the Fourth Proportional to 9,572.94, 14,358.26 and 2,553.48

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Solution

The fourth proportional to 9,572.94, 14,358.26 and 2,553.48 is: 3,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.94 : 14,358.26 = 2,553.48 : x
  2. Step 2: Convert to fraction form
    9,572.94/14,358.26 = 2,553.48/x
  3. Step 3: Cross multiply
    9,572.94x = 14,358.26 × 2,553.48
  4. Step 4: Simplify right side
    9,572.94x = 36,663,529.74
  5. Step 5: Solve for x
    x = 36,663,529.74/9,572.94
  6. Step 6: Final answer
    x = 3,829.91

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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.