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Finding the Fourth Proportional to 9,233, 13,845.40 and 2,657.68

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Solution

The fourth proportional to 9,233, 13,845.40 and 2,657.68 is: 3,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233 : 13,845.40 = 2,657.68 : x
  2. Step 2: Convert to fraction form
    9,233/13,845.40 = 2,657.68/x
  3. Step 3: Cross multiply
    9,233x = 13,845.40 × 2,657.68
  4. Step 4: Simplify right side
    9,233x = 36,796,642.67
  5. Step 5: Solve for x
    x = 36,796,642.67/9,233
  6. Step 6: Final answer
    x = 3,985.34

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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.