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Finding the Fourth Proportional to 6,097.69, 9,145.72 and 1,715.59

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Solution

The fourth proportional to 6,097.69, 9,145.72 and 1,715.59 is: 2,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.69 : 9,145.72 = 1,715.59 : x
  2. Step 2: Convert to fraction form
    6,097.69/9,145.72 = 1,715.59/x
  3. Step 3: Cross multiply
    6,097.69x = 9,145.72 × 1,715.59
  4. Step 4: Simplify right side
    6,097.69x = 15,690,305.77
  5. Step 5: Solve for x
    x = 15,690,305.77/6,097.69
  6. Step 6: Final answer
    x = 2,573.16

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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.