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Finding the Fourth Proportional to 6,117, 9,175.88 and 1,734.08

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Solution

The fourth proportional to 6,117, 9,175.88 and 1,734.08 is: 2,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117 : 9,175.88 = 1,734.08 : x
  2. Step 2: Convert to fraction form
    6,117/9,175.88 = 1,734.08/x
  3. Step 3: Cross multiply
    6,117x = 9,175.88 × 1,734.08
  4. Step 4: Simplify right side
    6,117x = 15,911,709.99
  5. Step 5: Solve for x
    x = 15,911,709.99/6,117
  6. Step 6: Final answer
    x = 2,601.23

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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.