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Finding the Fourth Proportional to 6,097.44, 9,146.51 and 1,715.23

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Solution

The fourth proportional to 6,097.44, 9,146.51 and 1,715.23 is: 2,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.44 : 9,146.51 = 1,715.23 : x
  2. Step 2: Convert to fraction form
    6,097.44/9,146.51 = 1,715.23/x
  3. Step 3: Cross multiply
    6,097.44x = 9,146.51 × 1,715.23
  4. Step 4: Simplify right side
    6,097.44x = 15,688,368.35
  5. Step 5: Solve for x
    x = 15,688,368.35/6,097.44
  6. Step 6: Final answer
    x = 2,572.94

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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.