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Finding the Fourth Proportional to 6,113.16, 9,170.13 and 1,730.94

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Solution

The fourth proportional to 6,113.16, 9,170.13 and 1,730.94 is: 2,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.16 : 9,170.13 = 1,730.94 : x
  2. Step 2: Convert to fraction form
    6,113.16/9,170.13 = 1,730.94/x
  3. Step 3: Cross multiply
    6,113.16x = 9,170.13 × 1,730.94
  4. Step 4: Simplify right side
    6,113.16x = 15,872,944.82
  5. Step 5: Solve for x
    x = 15,872,944.82/6,113.16
  6. Step 6: Final answer
    x = 2,596.52

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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.