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Finding the Fourth Proportional to 6,703.06, 9,244.16 and 4,185.40

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Solution

The fourth proportional to 6,703.06, 9,244.16 and 4,185.40 is: 5,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.06 : 9,244.16 = 4,185.40 : x
  2. Step 2: Convert to fraction form
    6,703.06/9,244.16 = 4,185.40/x
  3. Step 3: Cross multiply
    6,703.06x = 9,244.16 × 4,185.40
  4. Step 4: Simplify right side
    6,703.06x = 38,690,507.26
  5. Step 5: Solve for x
    x = 38,690,507.26/6,703.06
  6. Step 6: Final answer
    x = 5,772.07

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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.