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Finding the Fourth Proportional to 9,415.17, 14,140.29 and 8,289.82

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Solution

The fourth proportional to 9,415.17, 14,140.29 and 8,289.82 is: 12,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.17 : 14,140.29 = 8,289.82 : x
  2. Step 2: Convert to fraction form
    9,415.17/14,140.29 = 8,289.82/x
  3. Step 3: Cross multiply
    9,415.17x = 14,140.29 × 8,289.82
  4. Step 4: Simplify right side
    9,415.17x = 117,220,458.85
  5. Step 5: Solve for x
    x = 117,220,458.85/9,415.17
  6. Step 6: Final answer
    x = 12,450.17

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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.