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Finding the Fourth Proportional to 6,024.51, 9,036.81 and 1,642.41

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Solution

The fourth proportional to 6,024.51, 9,036.81 and 1,642.41 is: 2,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.51 : 9,036.81 = 1,642.41 : x
  2. Step 2: Convert to fraction form
    6,024.51/9,036.81 = 1,642.41/x
  3. Step 3: Cross multiply
    6,024.51x = 9,036.81 × 1,642.41
  4. Step 4: Simplify right side
    6,024.51x = 14,842,147.11
  5. Step 5: Solve for x
    x = 14,842,147.11/6,024.51
  6. Step 6: Final answer
    x = 2,463.63

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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.