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Finding the Fourth Proportional to 6,160.92, 9,235.16 and 2,653.22

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Solution

The fourth proportional to 6,160.92, 9,235.16 and 2,653.22 is: 3,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.92 : 9,235.16 = 2,653.22 : x
  2. Step 2: Convert to fraction form
    6,160.92/9,235.16 = 2,653.22/x
  3. Step 3: Cross multiply
    6,160.92x = 9,235.16 × 2,653.22
  4. Step 4: Simplify right side
    6,160.92x = 24,502,851.77
  5. Step 5: Solve for x
    x = 24,502,851.77/6,160.92
  6. Step 6: Final answer
    x = 3,977.14

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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.