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Finding the Fourth Proportional to 9,442.96, 14,159.18 and 3,900.06

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Solution

The fourth proportional to 9,442.96, 14,159.18 and 3,900.06 is: 5,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.96 : 14,159.18 = 3,900.06 : x
  2. Step 2: Convert to fraction form
    9,442.96/14,159.18 = 3,900.06/x
  3. Step 3: Cross multiply
    9,442.96x = 14,159.18 × 3,900.06
  4. Step 4: Simplify right side
    9,442.96x = 55,221,661.30
  5. Step 5: Solve for x
    x = 55,221,661.30/9,442.96
  6. Step 6: Final answer
    x = 5,847.92

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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.