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Finding the Fourth Proportional to 9,498.42, 14,247.63 and 2,572.92

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Solution

The fourth proportional to 9,498.42, 14,247.63 and 2,572.92 is: 3,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.42 : 14,247.63 = 2,572.92 : x
  2. Step 2: Convert to fraction form
    9,498.42/14,247.63 = 2,572.92/x
  3. Step 3: Cross multiply
    9,498.42x = 14,247.63 × 2,572.92
  4. Step 4: Simplify right side
    9,498.42x = 36,658,012.18
  5. Step 5: Solve for x
    x = 36,658,012.18/9,498.42
  6. Step 6: Final answer
    x = 3,859.38

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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.