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Finding the Fourth Proportional to 9,195.17, 13,780.59 and 3,346.16

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Solution

The fourth proportional to 9,195.17, 13,780.59 and 3,346.16 is: 5,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.17 : 13,780.59 = 3,346.16 : x
  2. Step 2: Convert to fraction form
    9,195.17/13,780.59 = 3,346.16/x
  3. Step 3: Cross multiply
    9,195.17x = 13,780.59 × 3,346.16
  4. Step 4: Simplify right side
    9,195.17x = 46,111,990.13
  5. Step 5: Solve for x
    x = 46,111,990.13/9,195.17
  6. Step 6: Final answer
    x = 5,014.81

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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.