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Finding the Fourth Proportional to 9,406.32, 14,104.08 and 6,289.90

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Solution

The fourth proportional to 9,406.32, 14,104.08 and 6,289.90 is: 9,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.32 : 14,104.08 = 6,289.90 : x
  2. Step 2: Convert to fraction form
    9,406.32/14,104.08 = 6,289.90/x
  3. Step 3: Cross multiply
    9,406.32x = 14,104.08 × 6,289.90
  4. Step 4: Simplify right side
    9,406.32x = 88,713,252.79
  5. Step 5: Solve for x
    x = 88,713,252.79/9,406.32
  6. Step 6: Final answer
    x = 9,431.24

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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.