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Finding the Fourth Proportional to 6,096.79, 9,145.52 and 1,937.13

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Solution

The fourth proportional to 6,096.79, 9,145.52 and 1,937.13 is: 2,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.79 : 9,145.52 = 1,937.13 : x
  2. Step 2: Convert to fraction form
    6,096.79/9,145.52 = 1,937.13/x
  3. Step 3: Cross multiply
    6,096.79x = 9,145.52 × 1,937.13
  4. Step 4: Simplify right side
    6,096.79x = 17,716,061.16
  5. Step 5: Solve for x
    x = 17,716,061.16/6,096.79
  6. Step 6: Final answer
    x = 2,905.80

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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.