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Finding the Fourth Proportional to 7,111.42, 9,813.74 and 3,967.61

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Solution

The fourth proportional to 7,111.42, 9,813.74 and 3,967.61 is: 5,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.42 : 9,813.74 = 3,967.61 : x
  2. Step 2: Convert to fraction form
    7,111.42/9,813.74 = 3,967.61/x
  3. Step 3: Cross multiply
    7,111.42x = 9,813.74 × 3,967.61
  4. Step 4: Simplify right side
    7,111.42x = 38,937,024.05
  5. Step 5: Solve for x
    x = 38,937,024.05/7,111.42
  6. Step 6: Final answer
    x = 5,475.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.