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Finding the Fourth Proportional to 9,405.74, 12,980.83 and 5,215.02

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Solution

The fourth proportional to 9,405.74, 12,980.83 and 5,215.02 is: 7,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.74 : 12,980.83 = 5,215.02 : x
  2. Step 2: Convert to fraction form
    9,405.74/12,980.83 = 5,215.02/x
  3. Step 3: Cross multiply
    9,405.74x = 12,980.83 × 5,215.02
  4. Step 4: Simplify right side
    9,405.74x = 67,695,288.07
  5. Step 5: Solve for x
    x = 67,695,288.07/9,405.74
  6. Step 6: Final answer
    x = 7,197.23

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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.