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Finding the Fourth Proportional to 9,783.22, 14,666.06 and 3,541.77

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Solution

The fourth proportional to 9,783.22, 14,666.06 and 3,541.77 is: 5,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.22 : 14,666.06 = 3,541.77 : x
  2. Step 2: Convert to fraction form
    9,783.22/14,666.06 = 3,541.77/x
  3. Step 3: Cross multiply
    9,783.22x = 14,666.06 × 3,541.77
  4. Step 4: Simplify right side
    9,783.22x = 51,943,811.33
  5. Step 5: Solve for x
    x = 51,943,811.33/9,783.22
  6. Step 6: Final answer
    x = 5,309.48

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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.