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Finding the Fourth Proportional to 9,107.65, 13,650.51 and 3,840.63

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Solution

The fourth proportional to 9,107.65, 13,650.51 and 3,840.63 is: 5,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.65 : 13,650.51 = 3,840.63 : x
  2. Step 2: Convert to fraction form
    9,107.65/13,650.51 = 3,840.63/x
  3. Step 3: Cross multiply
    9,107.65x = 13,650.51 × 3,840.63
  4. Step 4: Simplify right side
    9,107.65x = 52,426,558.22
  5. Step 5: Solve for x
    x = 52,426,558.22/9,107.65
  6. Step 6: Final answer
    x = 5,756.32

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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.