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Finding the Fourth Proportional to 6,411.51, 9,632.68 and 6,057.49

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Solution

The fourth proportional to 6,411.51, 9,632.68 and 6,057.49 is: 9,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.51 : 9,632.68 = 6,057.49 : x
  2. Step 2: Convert to fraction form
    6,411.51/9,632.68 = 6,057.49/x
  3. Step 3: Cross multiply
    6,411.51x = 9,632.68 × 6,057.49
  4. Step 4: Simplify right side
    6,411.51x = 58,349,862.77
  5. Step 5: Solve for x
    x = 58,349,862.77/6,411.51
  6. Step 6: Final answer
    x = 9,100.80

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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.