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Finding the Fourth Proportional to 9,740.67, 14,610.87 and 9,118.05

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Solution

The fourth proportional to 9,740.67, 14,610.87 and 9,118.05 is: 13,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.67 : 14,610.87 = 9,118.05 : x
  2. Step 2: Convert to fraction form
    9,740.67/14,610.87 = 9,118.05/x
  3. Step 3: Cross multiply
    9,740.67x = 14,610.87 × 9,118.05
  4. Step 4: Simplify right side
    9,740.67x = 133,222,643.20
  5. Step 5: Solve for x
    x = 133,222,643.20/9,740.67
  6. Step 6: Final answer
    x = 13,676.95

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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.