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Finding the Fourth Proportional to 9,458.84, 14,178.40 and 5,292.74

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Solution

The fourth proportional to 9,458.84, 14,178.40 and 5,292.74 is: 7,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.84 : 14,178.40 = 5,292.74 : x
  2. Step 2: Convert to fraction form
    9,458.84/14,178.40 = 5,292.74/x
  3. Step 3: Cross multiply
    9,458.84x = 14,178.40 × 5,292.74
  4. Step 4: Simplify right side
    9,458.84x = 75,042,584.82
  5. Step 5: Solve for x
    x = 75,042,584.82/9,458.84
  6. Step 6: Final answer
    x = 7,933.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.