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Finding the Fourth Proportional to 6,097.64, 9,146.40 and 1,715.06

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Solution

The fourth proportional to 6,097.64, 9,146.40 and 1,715.06 is: 2,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.64 : 9,146.40 = 1,715.06 : x
  2. Step 2: Convert to fraction form
    6,097.64/9,146.40 = 1,715.06/x
  3. Step 3: Cross multiply
    6,097.64x = 9,146.40 × 1,715.06
  4. Step 4: Simplify right side
    6,097.64x = 15,686,624.78
  5. Step 5: Solve for x
    x = 15,686,624.78/6,097.64
  6. Step 6: Final answer
    x = 2,572.57

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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.