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Finding the Fourth Proportional to 9,405.82, 12,975.33 and 6,004.45

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Solution

The fourth proportional to 9,405.82, 12,975.33 and 6,004.45 is: 8,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.82 : 12,975.33 = 6,004.45 : x
  2. Step 2: Convert to fraction form
    9,405.82/12,975.33 = 6,004.45/x
  3. Step 3: Cross multiply
    9,405.82x = 12,975.33 × 6,004.45
  4. Step 4: Simplify right side
    9,405.82x = 77,909,720.22
  5. Step 5: Solve for x
    x = 77,909,720.22/9,405.82
  6. Step 6: Final answer
    x = 8,283.14

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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.