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Finding the Fourth Proportional to 6,708.99, 9,256.53 and 4,193.66

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Solution

The fourth proportional to 6,708.99, 9,256.53 and 4,193.66 is: 5,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.99 : 9,256.53 = 4,193.66 : x
  2. Step 2: Convert to fraction form
    6,708.99/9,256.53 = 4,193.66/x
  3. Step 3: Cross multiply
    6,708.99x = 9,256.53 × 4,193.66
  4. Step 4: Simplify right side
    6,708.99x = 38,818,702.81
  5. Step 5: Solve for x
    x = 38,818,702.81/6,708.99
  6. Step 6: Final answer
    x = 5,786.07

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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.