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Finding the Fourth Proportional to 9,426.34, 13,009.94 and 5,449.74

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Solution

The fourth proportional to 9,426.34, 13,009.94 and 5,449.74 is: 7,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.34 : 13,009.94 = 5,449.74 : x
  2. Step 2: Convert to fraction form
    9,426.34/13,009.94 = 5,449.74/x
  3. Step 3: Cross multiply
    9,426.34x = 13,009.94 × 5,449.74
  4. Step 4: Simplify right side
    9,426.34x = 70,900,790.42
  5. Step 5: Solve for x
    x = 70,900,790.42/9,426.34
  6. Step 6: Final answer
    x = 7,521.56

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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.