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Finding the Fourth Proportional to 6,116.94, 9,176.93 and 1,734.44

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Solution

The fourth proportional to 6,116.94, 9,176.93 and 1,734.44 is: 2,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.94 : 9,176.93 = 1,734.44 : x
  2. Step 2: Convert to fraction form
    6,116.94/9,176.93 = 1,734.44/x
  3. Step 3: Cross multiply
    6,116.94x = 9,176.93 × 1,734.44
  4. Step 4: Simplify right side
    6,116.94x = 15,916,779.91
  5. Step 5: Solve for x
    x = 15,916,779.91/6,116.94
  6. Step 6: Final answer
    x = 2,602.08

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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.