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Finding the Fourth Proportional to 6,099.63, 9,149.40 and 1,717.07

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Solution

The fourth proportional to 6,099.63, 9,149.40 and 1,717.07 is: 2,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.63 : 9,149.40 = 1,717.07 : x
  2. Step 2: Convert to fraction form
    6,099.63/9,149.40 = 1,717.07/x
  3. Step 3: Cross multiply
    6,099.63x = 9,149.40 × 1,717.07
  4. Step 4: Simplify right side
    6,099.63x = 15,710,114.51
  5. Step 5: Solve for x
    x = 15,710,114.51/6,099.63
  6. Step 6: Final answer
    x = 2,575.58

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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.