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Finding the Fourth Proportional to 9,426.60, 13,007.26 and 5,446.94

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Solution

The fourth proportional to 9,426.60, 13,007.26 and 5,446.94 is: 7,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.60 : 13,007.26 = 5,446.94 : x
  2. Step 2: Convert to fraction form
    9,426.60/13,007.26 = 5,446.94/x
  3. Step 3: Cross multiply
    9,426.60x = 13,007.26 × 5,446.94
  4. Step 4: Simplify right side
    9,426.60x = 70,849,783.69
  5. Step 5: Solve for x
    x = 70,849,783.69/9,426.60
  6. Step 6: Final answer
    x = 7,515.94

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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.