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Finding the Fourth Proportional to 9,405.27, 12,980.65 and 5,425.60

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Solution

The fourth proportional to 9,405.27, 12,980.65 and 5,425.60 is: 7,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.27 : 12,980.65 = 5,425.60 : x
  2. Step 2: Convert to fraction form
    9,405.27/12,980.65 = 5,425.60/x
  3. Step 3: Cross multiply
    9,405.27x = 12,980.65 × 5,425.60
  4. Step 4: Simplify right side
    9,405.27x = 70,427,814.64
  5. Step 5: Solve for x
    x = 70,427,814.64/9,405.27
  6. Step 6: Final answer
    x = 7,488.12

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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.