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Finding the Fourth Proportional to 9,388.42, 14,052.39 and 6,458.02

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Solution

The fourth proportional to 9,388.42, 14,052.39 and 6,458.02 is: 9,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.42 : 14,052.39 = 6,458.02 : x
  2. Step 2: Convert to fraction form
    9,388.42/14,052.39 = 6,458.02/x
  3. Step 3: Cross multiply
    9,388.42x = 14,052.39 × 6,458.02
  4. Step 4: Simplify right side
    9,388.42x = 90,750,615.67
  5. Step 5: Solve for x
    x = 90,750,615.67/9,388.42
  6. Step 6: Final answer
    x = 9,666.23

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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.