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Finding the Fourth Proportional to 9,405.18, 12,980.46 and 5,426.22

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Solution

The fourth proportional to 9,405.18, 12,980.46 and 5,426.22 is: 7,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.18 : 12,980.46 = 5,426.22 : x
  2. Step 2: Convert to fraction form
    9,405.18/12,980.46 = 5,426.22/x
  3. Step 3: Cross multiply
    9,405.18x = 12,980.46 × 5,426.22
  4. Step 4: Simplify right side
    9,405.18x = 70,434,831.66
  5. Step 5: Solve for x
    x = 70,434,831.66/9,405.18
  6. Step 6: Final answer
    x = 7,488.94

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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.