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Finding the Fourth Proportional to 9,147.60, 13,721.40 and 6,687.23

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Solution

The fourth proportional to 9,147.60, 13,721.40 and 6,687.23 is: 10,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.60 : 13,721.40 = 6,687.23 : x
  2. Step 2: Convert to fraction form
    9,147.60/13,721.40 = 6,687.23/x
  3. Step 3: Cross multiply
    9,147.60x = 13,721.40 × 6,687.23
  4. Step 4: Simplify right side
    9,147.60x = 91,758,089.12
  5. Step 5: Solve for x
    x = 91,758,089.12/9,147.60
  6. Step 6: Final answer
    x = 10,030.84

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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.