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Finding the Fourth Proportional to 6,707.17, 9,255.93 and 4,190.74

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Solution

The fourth proportional to 6,707.17, 9,255.93 and 4,190.74 is: 5,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.17 : 9,255.93 = 4,190.74 : x
  2. Step 2: Convert to fraction form
    6,707.17/9,255.93 = 4,190.74/x
  3. Step 3: Cross multiply
    6,707.17x = 9,255.93 × 4,190.74
  4. Step 4: Simplify right side
    6,707.17x = 38,789,200.95
  5. Step 5: Solve for x
    x = 38,789,200.95/6,707.17
  6. Step 6: Final answer
    x = 5,783.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.