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Finding the Fourth Proportional to 9,415.67, 14,141.04 and 8,290.32

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Solution

The fourth proportional to 9,415.67, 14,141.04 and 8,290.32 is: 12,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.67 : 14,141.04 = 8,290.32 : x
  2. Step 2: Convert to fraction form
    9,415.67/14,141.04 = 8,290.32/x
  3. Step 3: Cross multiply
    9,415.67x = 14,141.04 × 8,290.32
  4. Step 4: Simplify right side
    9,415.67x = 117,233,746.73
  5. Step 5: Solve for x
    x = 117,233,746.73/9,415.67
  6. Step 6: Final answer
    x = 12,450.93

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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.