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Finding the Fourth Proportional to 6,190.36, 9,285.39 and 1,510.40

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Solution

The fourth proportional to 6,190.36, 9,285.39 and 1,510.40 is: 2,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.36 : 9,285.39 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    6,190.36/9,285.39 = 1,510.40/x
  3. Step 3: Cross multiply
    6,190.36x = 9,285.39 × 1,510.40
  4. Step 4: Simplify right side
    6,190.36x = 14,024,653.06
  5. Step 5: Solve for x
    x = 14,024,653.06/6,190.36
  6. Step 6: Final answer
    x = 2,265.56

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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.