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Finding the Fourth Proportional to 6,986.41, 9,637.53 and 5,305.03

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Solution

The fourth proportional to 6,986.41, 9,637.53 and 5,305.03 is: 7,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.41 : 9,637.53 = 5,305.03 : x
  2. Step 2: Convert to fraction form
    6,986.41/9,637.53 = 5,305.03/x
  3. Step 3: Cross multiply
    6,986.41x = 9,637.53 × 5,305.03
  4. Step 4: Simplify right side
    6,986.41x = 51,127,385.78
  5. Step 5: Solve for x
    x = 51,127,385.78/6,986.41
  6. Step 6: Final answer
    x = 7,318.12

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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.