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Finding the Fourth Proportional to 9,159.10, 13,738.64 and 3,314.34

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Solution

The fourth proportional to 9,159.10, 13,738.64 and 3,314.34 is: 4,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.10 : 13,738.64 = 3,314.34 : x
  2. Step 2: Convert to fraction form
    9,159.10/13,738.64 = 3,314.34/x
  3. Step 3: Cross multiply
    9,159.10x = 13,738.64 × 3,314.34
  4. Step 4: Simplify right side
    9,159.10x = 45,534,524.10
  5. Step 5: Solve for x
    x = 45,534,524.10/9,159.10
  6. Step 6: Final answer
    x = 4,971.51

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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.