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Finding the Fourth Proportional to 6,146.10, 9,219.14 and 1,529.10

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Solution

The fourth proportional to 6,146.10, 9,219.14 and 1,529.10 is: 2,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.10 : 9,219.14 = 1,529.10 : x
  2. Step 2: Convert to fraction form
    6,146.10/9,219.14 = 1,529.10/x
  3. Step 3: Cross multiply
    6,146.10x = 9,219.14 × 1,529.10
  4. Step 4: Simplify right side
    6,146.10x = 14,096,986.97
  5. Step 5: Solve for x
    x = 14,096,986.97/6,146.10
  6. Step 6: Final answer
    x = 2,293.65

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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.