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Finding the Fourth Proportional to 6,551.83, 9,041.67 and 5,137.21

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Solution

The fourth proportional to 6,551.83, 9,041.67 and 5,137.21 is: 7,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.83 : 9,041.67 = 5,137.21 : x
  2. Step 2: Convert to fraction form
    6,551.83/9,041.67 = 5,137.21/x
  3. Step 3: Cross multiply
    6,551.83x = 9,041.67 × 5,137.21
  4. Step 4: Simplify right side
    6,551.83x = 46,448,957.54
  5. Step 5: Solve for x
    x = 46,448,957.54/6,551.83
  6. Step 6: Final answer
    x = 7,089.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.