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Finding the Fourth Proportional to 9,159.39, 13,739.06 and 3,314.63

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Solution

The fourth proportional to 9,159.39, 13,739.06 and 3,314.63 is: 4,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.39 : 13,739.06 = 3,314.63 : x
  2. Step 2: Convert to fraction form
    9,159.39/13,739.06 = 3,314.63/x
  3. Step 3: Cross multiply
    9,159.39x = 13,739.06 × 3,314.63
  4. Step 4: Simplify right side
    9,159.39x = 45,539,815.18
  5. Step 5: Solve for x
    x = 45,539,815.18/9,159.39
  6. Step 6: Final answer
    x = 4,971.93

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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.