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Finding the Fourth Proportional to 6,177.74, 9,264.96 and 1,735.13

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Solution

The fourth proportional to 6,177.74, 9,264.96 and 1,735.13 is: 2,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.74 : 9,264.96 = 1,735.13 : x
  2. Step 2: Convert to fraction form
    6,177.74/9,264.96 = 1,735.13/x
  3. Step 3: Cross multiply
    6,177.74x = 9,264.96 × 1,735.13
  4. Step 4: Simplify right side
    6,177.74x = 16,075,910.04
  5. Step 5: Solve for x
    x = 16,075,910.04/6,177.74
  6. Step 6: Final answer
    x = 2,602.23

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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.