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Finding the Fourth Proportional to 9,598.32, 14,374.26 and 7,942.68

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Solution

The fourth proportional to 9,598.32, 14,374.26 and 7,942.68 is: 11,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.32 : 14,374.26 = 7,942.68 : x
  2. Step 2: Convert to fraction form
    9,598.32/14,374.26 = 7,942.68/x
  3. Step 3: Cross multiply
    9,598.32x = 14,374.26 × 7,942.68
  4. Step 4: Simplify right side
    9,598.32x = 114,170,147.42
  5. Step 5: Solve for x
    x = 114,170,147.42/9,598.32
  6. Step 6: Final answer
    x = 11,894.81

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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.