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Finding the Fourth Proportional to 9,697.82, 14,549.26 and 2,772.86

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Solution

The fourth proportional to 9,697.82, 14,549.26 and 2,772.86 is: 4,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.82 : 14,549.26 = 2,772.86 : x
  2. Step 2: Convert to fraction form
    9,697.82/14,549.26 = 2,772.86/x
  3. Step 3: Cross multiply
    9,697.82x = 14,549.26 × 2,772.86
  4. Step 4: Simplify right side
    9,697.82x = 40,343,061.08
  5. Step 5: Solve for x
    x = 40,343,061.08/9,697.82
  6. Step 6: Final answer
    x = 4,160.01

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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.