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Finding the Fourth Proportional to 9,225.64, 13,840.62 and 3,385

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Solution

The fourth proportional to 9,225.64, 13,840.62 and 3,385 is: 5,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.64 : 13,840.62 = 3,385 : x
  2. Step 2: Convert to fraction form
    9,225.64/13,840.62 = 3,385/x
  3. Step 3: Cross multiply
    9,225.64x = 13,840.62 × 3,385
  4. Step 4: Simplify right side
    9,225.64x = 46,850,498.70
  5. Step 5: Solve for x
    x = 46,850,498.70/9,225.64
  6. Step 6: Final answer
    x = 5,078.29

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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.