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Finding the Fourth Proportional to 9,682.93, 14,526.54 and 3,443.32

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Solution

The fourth proportional to 9,682.93, 14,526.54 and 3,443.32 is: 5,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.93 : 14,526.54 = 3,443.32 : x
  2. Step 2: Convert to fraction form
    9,682.93/14,526.54 = 3,443.32/x
  3. Step 3: Cross multiply
    9,682.93x = 14,526.54 × 3,443.32
  4. Step 4: Simplify right side
    9,682.93x = 50,019,525.71
  5. Step 5: Solve for x
    x = 50,019,525.71/9,682.93
  6. Step 6: Final answer
    x = 5,165.74

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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.